{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "c83d0099",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "c1=\"#009ad6\"\n",
    "c2='#f15a22'\n",
    "c3='#7fb80e'\n",
    "c4='#aa2116'\n",
    "c5='#ffe600'\n",
    "rho=np.logspace(3,0,61)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "701cde17",
   "metadata": {},
   "outputs": [],
   "source": [
    "data=np.loadtxt('k445.txt')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "7713a76d",
   "metadata": {},
   "outputs": [],
   "source": [
    "k17=np.median(data,axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "a8e130f6",
   "metadata": {},
   "outputs": [],
   "source": [
    "x=np.loadtxt('de445j2.txt')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "1f40768e",
   "metadata": {},
   "outputs": [],
   "source": [
    "k17=k17/x[:,0]\n",
    "MAP=x[:,6]/x[:,0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "ccced5a7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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jZBONbdq0Cd9//z1eeeUVu8dWGMuWLUNCQoK03bZtW1nLfH4EQUCHDh1w8+ZNad+FCxfQv39/u8dZGCXps5CfsvwePA6y/4+wx0RRVPyYfBI52AsvvIBffvlF6l6YkJCAbt26ISIiosj/SEuKtLQ0/PXXX7J9zupy26hRI5QvX97q8p07d5ZtHz161KrjWrRo4dCWwSNHjsi2bU0Gu3btKtu25Qq9o19bluyzlLq7uzvkPG+88Qa+/fZbxMfHAwA2bNiAo0ePolWrVkWqNzw8HOHh4fYIsUhiYmIwbdo0aXvixIno0KFDqT/XE088YXXZSpUqYefOnejSpQsOHTok7f/www8xYcIEeHh4OCJEm/z444+y7Tlz5th0vGWrG5Dz8+NMJeWzUBBnvQdbt27F33//jf379yMmJgbJycnw8/NDxYoV0blzZwwePBjt27e3KZYs58+fx/r16xEREYEbN24gPj4eGo0G5cqVQ2hoKBo3boyOHTti4MCBCAgIyLOeqKgoVKtWDYB5yauIiAib4rA83hbr1q3DU089ZVXZ7J/jrN4XVLqw2y2Rg40cORKLFi2SfZl/+PAhunbtiitXrjgxMvtZvXq17J9AUFCQ05aPadCggU3lq1SpAh8fH2n71q1bObpK56Yw/2RtcevWLdm2revHVa9eXdbd9M6dO1a9LsDxry0v1sZnKx8fH0yfPl22791333XIuZzh5ZdfRlJSEgAgODgYn332WZk4l63c3NywdOlS2dJO9+/fx/bt250YldnNmzdl3b1r1Khh8wUlpVIp2y6OC0RliTPeg+PHj6N169bo3bs3fvjhB5w7dw4PHz6EXq/H/fv3cerUKXz55Zfo0KEDevbsievXr9v0egYOHIhGjRrhvffew65duxAVFYXU1FTo9Xo8fPgQZ8+exbJly/D8888jJCQEI0eOLNXfOxz1P4KKF1s+iYrB+PHjodfr8cILL0h/POPi4tClSxfs3bsXNWvWdHKERePstT0tFaarb/ny5ZGSkgLA3C0zJSWlwLUsLRNWR0hMTJRtV6hQweY6/P39kZqaCgAwGo1ITU21Km5Hv7Ys2a9iazQah53r//7v//Dll18iJiYGgHmykIiIiBwt36XN6tWrsW7dOmn7q6++gq+vb6k/V2HVrFkTAwYMkPXE2L59u9UtK45i2bUfAPr27Wtz8vjgwQPZtr0n6Crrivs9WLduHUaPHo3MzEwA5guj48aNQ7NmzeDn54f4+HgcOnQIS5cuxY0bN7B9+3a0adMGGzZsQLt27fKNY/v27RgxYoT0fyIoKAhDhw5F+/btERoaCi8vLyQkJODWrVvYs2cPtmzZgvj4eKxatQpBQUFYsGCBTa/bVi1atMDixYutKhsWFmZ1vVk/yyyc5Kl0YvJJVEwmTpwInU4nG18SHR0tJaDOam0qqps3b+ZY7NlZXW6BnAmNNbL/A0tLSysw+cxvJl17yD5TZ2H+yWY/xtrk09GvLUv2xCUrUXYEd3d3zJgxQ/b5e/fdd2VjBEujN998U3rct29fDBs2rEycqyi6du0qSz5LQktP9r+RHTt2tLmO7K1iNWrUKFJMj5vifA+OHj2K4cOHQ6/XQxAEfPLJJ5g6dWqOltPu3bvj7bffxjvvvIPPP/8c8fHx6N+/P06ePImqVavmWvfJkyfx1FNPITMzE4Ig4J133sG7776b57CF5557DhkZGVi8eHGBs6Xbi6enp829kKyR/f9iQf+nqWRi8klUjCZPngy9Xo/XX39d2nfnzh106dIF+/btQ+XKlZ0XXCEtXbpU1hWmWbNmTp3NtzDjoLKPG3HExDe2yh5DYca2ZD/GmhmAi1P23/esVklHmThxIubNmydNz3/w4EFs2rQJffv2LVR9Fy9eRHR0tB0jzF39+vXznAk4qwssYJ5gpzBdMW/dupXjuFOnTqFJkyZOO1dRZP+9yt5a5QzXrl2Tbds6PtJkMuHgwYPStouLC1q3bm2X2OyhJHwWClJc74FOp8OIESOg1+sBAPPnz8cbb7yRZ71qtRrz58+H0WjEggULkJiYiLFjx+ZIlgFAr9dj6NChUgvg119/jf/7v/8rMHYPDw+8/PLLGDZsWI75BEqT7L9jVapUcVIkVBRMPomK2WuvvQa9Xi9rRYiKipJaQLOvY1WS5ba257PPPuukaMws11S1luXshwqFoti6nebHz89Ptp01WY4tLI9RKpUlMvlUKBTSZFx379516PnUajVmz54ta5mfMWMG+vTpU6hE6rPPPssxy7MjLF682Km9CUqb7C33WUmAM0VGRsq282rVysuxY8dkXfFbt25dYG+Iu3fv4ocffsCOHTtw8+ZNpKSkwM/PD40aNcKgQYMwYcIEuLq62hRHXkrDZ6G43oPly5dL52rfvj2mTJliVf0ff/wx/vnnH1y/fh379+/Hnj178OSTT8rKLF26VJptt0ePHlYlnpYCAgLQr18/m44pSbInn7a+h1QycMIhIieYNm0a5s6dK9t3/fp1dOnSBbGxsU6KynZ79+6V/UN35tqeWc6fP29T+Vu3bknjPQHz+JOSMJFH9nEwZ86csen4mzdvyrqxVqlSpUS8Lkuurq6oU6eOtH379m2HjvsEgDFjxqBu3brS9unTp7FmzRqHnpOKV/a/ofnN8FlcLC9wAbZ3bc8+fm7gwIH5lv/qq69Qs2ZNfPTRRzh27Bji4+OlSW527tyJl19+GQ0bNsTly5dtiqM0K673YOHChdLjadOmWf13183NTZZMWtaT5ZdffpHV/bjJ/vtq60R8VDKw5ZPISd555x3odDrZGIwrV66gW7du2LNnT4n4wlSQ7Fe6+/fvb9MyJ45w7tw5JCQkWB3H3r17ZdtFXX7DXtq0aSPb3r17N2bPnm318dkn18heX0nRvHlzXLp0CYB5UqSLFy+iWbNmDjufUqnEBx98IBuvOHPmTAwePNhh53SkDRs22Nyyd+bMGdkX16CgICxfvlxWJrdJ0IrzXEWxf/9+2XZJGM6gVqtl6/ampKRY/TcqNjYWv//+u7Tt5uaWbw+TOXPmYObMmQDMM1dPnjwZ9erVQ0hICO7fv49Nmzbhp59+wrVr19CtWzecOHECQUFBhXxlpUdxvAdpaWk4fvy4VKZPnz42xTh48GBpWE72pU4s6/bw8MjRKvo4sJyt2NfXt9RP1vi4YvJJ5ESzZ8+GTqfDxx9/LO27cOGClIA6O5HLT3p6eo4Wo5LQNVCv12PVqlWYPHmyVeWzJ9CdOnVyRFg2a9OmjezL0v79+3H9+nWr/9kuWrRItl1SXld2HTp0kCUjJ06ccGjyCQBDhgxB06ZNcerUKQDmq+nLli2zuZ4lS5bkmOm5uBXmfc0+E7Wbmxu6detWos5VWElJSVi7dq1sX/Y1b53Bx8dHNlnK6dOnrV7mY/r06bJjx44dm+es3gcPHpQuUr366qv4/PPPc7wHvXr1wogRI9CtWzfcu3cPM2bMyLWVzRYl4bNQkOJ4D86ePQuDwQAAaNy4sc2tq5UrV0ZgYCDu37+PmJgYxMbGIjg4GIA58cqqu0mTJk6bUd4a6enpVvVCUqvVqF27tlV1xsXFyYZmOGp9YXI8drslcrKPPvoIU6dOle07e/YsunfvLpvgo6RZu3at7J9xcHAwevXq5cSI/vPhhx9aNXPqtm3bZC2E7u7uGDlypCNDs5qvry+GDBkibYuiaHU3qzVr1uDQoUPStpeXV4l5Xdn17NlTtr1v3z6Hn1MQBHz44Yeyfe+//36JGBtIRTNt2jTZ3021Wu20NYctNW/eXLZt7cWOX375RTauvnz58jmGbFiaO3cuTCYTGjRogC+++CLPBKVdu3bSBbply5Y5vLt7SVAc74HlnANZSaOtLI+zrM/ycWBgYL51JCQk4Pz583neHP237vjx42jYsGGBtx49elhdZ/b/Ddn/d1DpweSTqASYP38+Xn31Vdm+kydPomfPnrLxiCVJSVrbM7uYmBjZbIO5uX79OsaNGyfbN378+BK1buGUKVOgUPz3Z3rDhg05kqbsTp8+jYkTJ8r2TZw4sURMopSbsLAw1K9fX9res2dPsZy3T58+srX0oqKiimW2TrLOJ598ghMnTlhd3mAwYOrUqfj1119l+1966SWrZkeNioqCIAiyW9asyPaQvYVt2bJlOboHZ/fzzz/jpZdeku378ssv8xySkZaWhu3btwMAhg0blmNZj+yyum1qtVqpO2dZVhzvgeVFz8JO8GZ5XHJysvTY8rtAQTOyr1ixIt+k7969e4WKzZmyd0O2tUszlRxMPolKiK+++irHP7mjR4+id+/eOda2snTgwAHs3Lkzxy37FzeNRpNruZ07d+LixYs2xXrr1q0c/whKQpdb4L+JejZv3oy2bdti7969sqVg0tPTsXDhQrRq1Qr379+X9gcFBeGjjz4q9njz06JFixwzJb733nsYMmRIji5NiYmJmD9/Ptq1ayf7wlKjRo0CE1Zns5yk6t69e8X2RTi/FiRyrq1bt6JFixZo164dvvrqK5w/f17qcmgpOTkZK1euRMuWLfHFF1/InqtRo4Y09tHZJkyYIBtGYTQa0adPH/zyyy/SshmAuYfD4cOH0b9/f7z44oswGo3Sc++8806OC2aWTp48Kf2MZs6cmSOZzn7r37+/dKyjlzkqCYrjPbBMHPP7v50fy+Ms17G0rNuRayLbQ6dOnSCKYoE3ay/wiKKIv//+W9pu27ZtqV0bnQCIRGRXYWFhIgDptmfPHquPNZlM4oQJE2THAxA7deokpqenW3W+wtzGjx9v02v84IMPZMc3b97cpuPtac+ePbJY3nvvPbF79+6yff7+/mKzZs3E8PBw0d3dPcfrd3V1FXfs2GHTeWbNmlWoeCMjI2362Ws0GrFbt265vm+hoaFiixYtxDp16oguLi45nvf39xdPnDhRYEz2em2FFRUVJQqCIJ3/f//7n9XHZv/9T0xMtOnc2X9XilJXaZH9/Q4LCytx5+rUqVOun9MaNWqIzZo1E1u2bClWr15dVCgUub53wcHB4tWrV62OM/vnEoAYGRlZuBedh19//TXXWD09PcUGDRqITZs2Ff39/XMt89ZbbxVY/+rVqwv9P2DJkiV2fa0llaPfgwMHDkjlW7duXagYAwMDpTqio6Nzrbtt27Y212v5mcrtd9vyM9CpUyeb6y/q8fk5evSo7L347rvv7Fo/Fa+S0UeOiACYx6L9/PPP0Ov1sjEme/fuxYABA/DPP//Azc3NiRGaZZ+kp6S0egLmdTpXr16Nfv36SV2q4uPj81wn09vbGytWrHDoJChF4erqik2bNmHChAk5ZgmNjo7Os6torVq18Pfff8uWFSmpwsLC0KdPH2zatAmAucvYhx9+KOty7Chz587Fjh07HH4eKjqtVosbN24UWK5Pnz5YvHhxgePiLGUf86hSqQrs2mir5557DtHR0Zg5c2aO3hh5Tc4SGBiIH3/8EYMGDSqwfsuW4XfffRcjRoywOrZKlSpZXbY0c/R70LBhQyiVShiNRpw5cwZ6vd6mSYfu3r0r9cgJDg6WdRlv0KCBrG6DwVBihro4muX4XG9vb4wZM8aJ0VBRsdstUQmjUCiwaNGiHBPE7Nq1C4MGDYJWq3VSZGb79++XfQEsCWt7ZleuXDns3r0bH3/8MSpUqJBrGbVajWHDhuHixYslftFttVqNZcuWISIiAl26dMn3C0eNGjXw+eef4/z586Ui8cyStbwAYO7WXVwJYcuWLfHUU08Vy7nIeu+++y5eeukl1K9fv8Cxi4B5DNzQoUOxd+9ebNq0yabEEzDPEmtp7Nixef7tKIoZM2bg33//Rbt27fJd/7Fu3bqYN28eIiMjrUp6APl6pkqlEg0aNLD6VpLGujuaI98Db29vaWIjjUaDLVu22BTbX3/9JT3u3Lmz7DkfHx+0aNECAJCRkZFjOa2ySqvVypa5efbZZ0vsHAZkHUG0vPRDRFTKREREyNY7mzVrlmw9TIPBgEOHDuHcuXNITEyEj48PKlWqhCeffLLUfuFKSkrC/v37ER0djfj4eHh6eiIoKAhNmjRBnTp1nB1eobVo0UIaqzxgwABs2LDByRFRSZCRkYGLFy8iKioKMTExSEtLg8lkgq+vL/z8/BAeHi61OBXWmDFjpC+4Li4uuHLlisPHlMXGxuLAgQOIjY1FcnIyfH19ERgYiNatWxdqbdKEhAQEBATAZDKhc+fOxTZ5V2lm7/cAABYuXIgXXngBANCxY0dERETkm+Rm0Wq1aNiwIa5duwYA2LlzZ45lgizr7tGjB7Zt22Z1XJ07d5bWtY6MjETVqlVlz0dFRUm/8506dcoxr0NBinp8XpYuXYrx48cDKL7PJjmYc3v9EhEVjbPHK5L9bNq0SXofBUEQL1++7OyQ6DERGhoq/e49//zzzg6n0Lp06SJ9fo4ePerscB5LGo1GNhZ9wYIFVh03depU6Zgnnngi1zJarVasWrWqVO6bb76xOq7SOuazYcOGUr0vvPCC3eol52G3WyIiKhEslz8RRRGfffaZkyOix8Hly5elsdNqtRozZsxwckSFN3v2bAiCAFEUMXToUFy+fDnf8nfu3MmxPA0VjaurK1auXCmN9ZwyZQq++OILmEymXMvrdDq8/fbb+PzzzwGYh43ktQapWq3Gn3/+Kc398Oqrr2LmzJkFrtOq1+tL/Ay5udm0aRPOnTsHAHBzcyvVn036z+MxUpmIiEqFBQsWoHXr1jCZTFi6dCmmT5+O2rVrOzssKsMsx85NmDABVapUcWI0RdOhQwd89NFH+N///odbt26hadOmGDt2LHr16iW9rocPH+LMmTPYvn079u7dizZt2mDChAlOjrxsadu2LX7//XeMGzcOGo0GU6dOxW+//YaxY8eiWbNm8PPzQ3x8PA4fPozffvsN169fBwCUL18e69atQ/Xq1fOsu2XLlli7di1GjRqF5ORkzJkzBz///DOGDRuG9u3bIzQ0FN7e3sjIyMDt27dx5MgRrF69Gnfv3gVgnkxLrVbnG39sbGyOtbzzMmrUqBz15TeBU3YVKlRAcHBwjv2iKOK9996TtqdNm1bortBUwji55ZWIqEjY7bbsmThxovR+DhkyxNnhUBk3ZMgQaSmXO3fuODscu1i0aJHo7e1t1TIrffr0cXa4ZdaRI0fEFi1aWPU+dO3aVbxy5YrVdV+7dk3s27ev1cvpKJVKcdCgQeKlS5dyrS+35YasuWUtSVXY41977bVc41m5cqVUplKlSnkuN0elDyccIqJSraAJh4iIHkdJSUn49ddfsW3bNpw/fx4JCQkAzK1rNWvWRJs2bdC7d2906tSpWJY1elyJooitW7diw4YN2L9/P2JjY5GSkgJfX19UrFgRnTp1wuDBg9GxY8dC1X/u3DmsW7cOe/fuxY0bNxAfHw+tVgsfHx9pIrq2bdti6NChCAoKyrMeywmDbJGYmAhfX99CH//aa69hwYIFNh9HpReTTyIq1Zh8EhEREZUOvNRFREREREREDsfkk4iIiIiIiByO3W6JiIiIiIjI4djySURERERERA7HdT7JZsHBwUhPTy/Va6EREREREZUVt2/fhqenJ2JjY50dSr6YfJLN0tPTodVqnR0GETlAeno6AMDT09PJkRCRvfHzTVR2lZbv5kw+yWZVqlRBeno6Lly44OxQiMjOdu/eDQDo0qWLkyMhInvj55uo7KpatWqpuLDEMZ9ERERERETkcEw+iYiIiIiIyOGYfBIREREREZHDMfkkIiIiIiIih2PySURERERERA7H5JOIiIiIiIgcjsknERERERERORyTTyIiIiIiInI4Jp9ERERERETkcEw+iYiIiIiIyOGYfBIREREREZHDMfkkIiIiIiIih2PySURERERERA7H5JOIiIiIiIgcjsknERERERERORyTTyIiIiIiInI4Jp9ERERU4ly4cAErV67E559/jgULFmD16tWIjIx0dlhUSFWrVoUgCBAEAbNnz86z3OzZs6VyVatWLbb4CLh27RrefPNNtGrVCuXLl4eLi4v0Xvj6+jo7PCojmHwSEZVyS5Yskb4gCIKAJUuWWH3s/fv30axZM+nYrl27YvLkyYiPj89R1mQy4cKFC/jtt9/wyiuvoG3btvDw8JCdOyIiwub4Lb+UFvbWuXNnq38+Wbd//vnH5lgTExPh7u6eo65nnnnG5roAYN68ebJ6lEolbt++Xai68nqdljd3d3cEBwejVatWmDRpEjZv3gyTyVRg3YV9X+bPn2/z61izZg0aN26MBg0aYNSoUZg2bRqmTJmCYcOGoXr16mjXrl2hfs+IKG9LlixBgwYNMH/+fBw7dgyJiYkwGAzODovKIJWzAyAiIue4ffs2unXrhmvXrkn7mjZtijlz5sDf319W9umnn8a2bduQnp5e3GFapTBX5RctWoR+/frZdMzvv/8OjUZj87nyi8GSyWTC4sWLMWvWLLudw5JGo4FGo0FcXByOHTuGH3/8ETVr1sTChQvzTeCLg9FoxMSJEwu8eHLw4EF07doV7777Lj744IPiCY6oDLt06RImTpwIo9Eo7fP09ERAQACUSiUAwMfHx1nhURnD5JOI6DF0+fJldO/eHXfv3pX2DRo0CC+88ALUanWO8idOnHBY4lm1alWoVLb9O4qOjkZmZqa0PXLkSJvP+88//+DBgwcICAiw+pjsyWJRHDhwAJcvX86xf/HixZg5cyYEQShS/YGBgfD29pbty8zMxP3792UtGtevX0fXrl2xYsUKDB8+vFD15sXPz8/qeKdMmSJLPD08PDB69Gg0adIEOp0OR44cwdq1a6HX62EymTBnzhz4+flhypQpVp+DiHL66aefpMRTpVJhzZo1GDBgQJH/BhHlhsknEdFj5vjx4+jduzcePnwo7Xv22WexcOFC7N27t8DjXV1d0ahRI7Ro0QKpqalYvnx5keKxtQulVqtFxYoVpeTT398fgwYNsvr4oKAgxMXFQa/XY/ny5VYnL2fOnMGpU6cAAF5eXhBFsUgJ+a+//io9rlatmjSe8datW9i5cye6d+9e6LoB4NNPP821O3BmZiZ27dqF9957D6dPnwZgbnEdN24cWrRogRo1ahSq3qLYtGkTvvnmG2k7PDwcW7duReXKlWXlzpw5gz59+iA6OhoAMG3aNHTr1g0NGza0azzkPLNnz853TCjZ35EjR6THgwcPxsCBA50YDZV1HPNJRPQYiYiIQJcuXWSJ55QpU/Drr79K3atyM27cOPz88884efIkUlNTcfToUXz//ffo2rVrcYQts379etmY1LFjx+baWpuXcePGSY8XL15s9XGWyeLQoUPh5uZm9bHZpaam4s8//5S233rrLbRu3TrXc9mbu7s7+vXrh8OHD8u62up0OsyZM8dh582LyWTC//73P2nbw8MDGzduzJF4AkDjxo2xevVqKBQK6dh33nmn2GIlKoss/x/UrFnTiZHQ44Atn0REj4m///4bw4cPl41ZnDNnDmbMmFHgsSVpbN0vv/wi254wYYJNxw8ZMgQ//fQTUlJScO7cORw/fhwtWrTI9xitVovff/9d2n7uuefw999/23ReS3/88YfUaurq6orhw4dDFEWpBWL9+vVISEhA+fLlC32Ogri6uuKXX35BnTp1pC53//zzD0wmk5TcFYddu3bh3Llz0varr76K6tWr51n+iSeewNChQ/HHH38AMMd8/fr1EvulOSMjAxEREbh9+zYSEhIQGBiI9u3bo27dunkeYzAYcODAAZw/fx7Jycnw8/ND06ZN0bp16yJ1hYyKisKNGzdw9uxZaLVaBAUFoUGDBmjevHmR6j127BjOnj2LBw8ewN/fH1WrVkWnTp1suihUVKIo4sqVK7h48SLu3r2L1NRUuLu7w9/fH40bN0ajRo3s9nut0+kQERGBqKgoxMfHo3z58mjSpAlatmxZbJ+dlJQU7Nu3D3fv3kVCQgL8/PwQGhqKjh072tTdHQD0er302MXFxd6hEsmJRDYKDw8Xw8LCnB0GET2yePFiEYB0W7x4cY4yS5cuFVUqlVRGoVCI33//fY5yu3btEnft2lXoc+/Zs6cIr6RgkZGRoiAI0vlat25tc4znzp0Tn3/+eWl78uTJBdaxatUqqXzt2rVFURRFf39/ad/48eNteh1t2rSRjh0yZIgoiqKYkJAgurq6Svu//vprm+q05vcgNy1atJAdd/PmzRxlClOvtSZNmiSr//r16wUes3PnTtkx8+bNs2tMtho/frwUS6dOnURRFMXMzEzxjTfeEH18fGSxZt169OghRkVFyeoxmUziV199JQYGBuZ6TL169cT9+/fbFJtGoxHnz58vVqlSJdc6AYgVK1YUv/32W9FgMNhU94YNG8SaNWvmWqe/v784c+ZMUa/Xi6IoimFhYdJzs2bNyrPOWbNmSeUK+q6h0WjE1atXi8OGDRMrVKiQ5+vLimf27NlicnKyVa8tt/dUr9eLs2bNkn32LW9Vq1YV//rrL6vqL6yLFy+KAwcOFF1cXHKNQaVSib179xbPnDmTZx2RkZH5/qxyu1HJFxYWJoaHhzs7jAKx2y0RURn39ddfY/z48dIkMy4uLli+fDkmTZrk5Mhst2jRIoiiKG1PnDixUPU899xz0uOVK1cWOIOt5URDzz77bKHOmeXixYs4fPiwtJ3VDdjPzw/9+/eX9juy662l7GM8Hzx4UCznzbJp0yZZLAWNOQWADh06yLo9F7RszjPPPFPkJYFs8fDhQ7Rt2xZffPEFUlJSci2zfft2tGnTBlFRUQDMrWmDBw/Ga6+9hvv37+d6zKVLl9CtWzfs2bPHqjiuXbuGhg0bYtq0afku4XPv3j383//9H7p06YLU1FSr6n7rrbcwcOBAXL9+Pdfn4+Pj8cEHH6Br164Om6zs0KFDGDp0KP78809Z19G84pk9ezZat26NGzdu2Hyu5ORkdOrUCe+//36uS1EB5pblwYMH47vvvrO5fmv8/PPPaNSoETZs2CBrrbRkMBiwZcsWNGvWDF999ZVD4rDVli1birycVtZt/Pjxzn45VETsdktEVIbNnj0b77//vrTt7u6ONWvWoE+fPk6MqnBMJpNsNlRPT0+rZmfNTZs2bRAeHo6LFy8iMTER69evx4gRI3Ite+fOHezcuRMAoFQqi/zlxzKpDAwMRO/evaXt8ePHY82aNQDMk+ucOHECzZs3L9L5CpJ9Lb/8xv7aW1JSkiwpatOmjVXHqdVqNG/eHAcOHAAAnD171iHxFYbRaMSIESNw+vRpuLi4YODAgXjiiSdQrlw5REVFYcWKFVLyExsbi3HjxmHfvn2YPHky1q9fDwBo3749evXqhZCQECQkJODvv//Gv//+C8C8XM64ceNw+fJleHp65hnHhQsX0LlzZ1lSFhISgrZt26Jr165Qq9W4ceMG1q5dKy23tG/fPvTq1Qt79+7NdwbqTz/9FPPmzZO2BUFA9+7d0a1bN5QvXx737t3DunXrcPr0aezbtw8vv/xyoX+e1vLy8kK7du3QvHlzhISEwMvLC4mJiThz5gw2bNiApKQkAOaZvvv374/jx4/Dw8PDqrpNJhNGjhyJgwcPQhAE9OjRA08++SQCAgKQmJiILVu2YNeuXVL5119/HR06dECjRo3s9voWLlyIF198Ubavffv26N27N4KCgvDgwQNs27ZNurBiNBrx+uuvQxRFvP7667LjXFxcZBd5bt26Jf0d8PPzs3t3/6zPqT20b9/ebnWRkzi76ZVKH3a7JSpZcutuaTKZxFdffVW2v1y5cuK///6bb10ludvtli1bZOd67rnnChXjuXPnRFEUxXnz5kn7unfvnufxH3zwgVSub9++0v7CdLvV6XRiQECAdNxrr70me16v18u6XE6aNMmqenN7ndZ2j23QoIHsuNu3b+coY/l8t27dxA4dOogBAQGii4uL6OfnJ9aqVUscNmyY+MMPP1jdrVEURfHgwYOyuvPrjpnduHHjZMfGxMTkWdayC6Ujfk8t68/qFl6rVi3x0qVLOcpqNBqxd+/esnimTZsmAhC9vLzEjRs35nqO2bNny47Jr1t2RkaGGB4eLpV1cXERv/76a3H79u05Pt96vV6cOXOmrO4PPvggz7ovXLggqtVqqayfn5+4e/fuXMt+++23okKhEAFI9wW9z7Z0u92zZ4/YtGlTceXKlWJGRkae5VJTU8WJEyfKXuPMmTPzrdvyPc2KPSwsTDx+/Hiu5X/99VdZ/UOHDs23fltcuXJFdHd3l+r28PDIs3vvP//8I3p5eUll1Wp1vl1wRdH6LtGFNX78eLFGjRq53rJ3Bw8JCcmzbI0aNcTLly/bPb6yorR0u2XySTZj8klUsmRPOhYuXCiOHTtWti8wMFA8depUgXWV5OTz6aeflp3r4MGDhYoxK/mMjY2VxsEqFIpcky6TySRWr15dOnbNmjXSc4VJPtesWSOL5eTJkznKTJkyRXre19dXzMzMLNTrtCb5PHnypOyY0NDQXMtZlinoVq5cOfGjjz4SjUZjgedfvny57Nhff/3VqtcqiqI4Y8YM2bEHDhzIs2xxJp9Z79udO3fyLB8dHS0b35t127x5c57HmEwmsVGjRlLZJ554Is+y77//vqzeP//8UxTF/D/fr7/+ulTe09NTTEpKyrXcU089JUu080o8s3z88cc5Xqe9kk9rPxtZhg0bJtUdFBQk6nS6PMtmf099fHxyHQ9taeTIkVJ5V1dXMTU11ab48jJ06FBZLOvWrcu3/KZNm2Tle/funW95Ryef+dmzZ48s1tOnTxfr+cuS0pJ8cswnEVEZ8+6772LZsmXSdlhYGPbv348mTZo4L6gievDggWx22fDwcLRt27ZIdQYFBaFv374AcnbpzRIREYGbN28CACpUqIABAwYU6ZyWXW4bNGiApk2b5ihj2a03KSkJa9euLdI58xIfH5+jC/HTTz9t1bGenp6oXLkygoODc8yOmZycjHfeeQe9evWS1mLNS/bxkLZ098s+o6e1YxWLwzvvvINKlSrl+XxISAi6desm29evXz9ZF+zsBEHAmDFjpO2TJ0/m6DINmLvlWo45HD58OIYOHVpgzHPnzpV+/unp6bK/IVliYmJk42tHjBiBJ598Mt96p02bhlq1ahV4/sKwdbmjTz75RHocFxeHkydPWn3s22+/jWrVquVbxrJbrFarxZkzZ2yKLzcxMTFYt26dtD1gwAA89dRT+R7Tp08fDBkyRNretm2b9HespLF8D1xdXVG/fn0nRkPFgcknEVEZYzlZiVqtxq5duxz25a+4LF26VDbBhq3Lq+TFcuKhJUuWyCYzAuTJ4pgxY4q0DMHdu3exbds2aTuvsaONGzdG48aNc42hqDQaDa5evYqvvvoKjRs3li1x4uPjk+eamWq1GsOGDcPKlStx+/ZtpKWl4fbt24iJiUFaWhr+/fdfjBkzRrZcx44dOzBmzJgcP1NLaWlpsm1bkgl3d/d867KU9d5m3SzXN3UEy7Vk89KsWTPZ9tixY206RqPRSJMVWdq5c6fsb8DUqVMLrBcwr686bNgwaXvHjh05ymzZskWW8D7//PMF1qtSqWSfM2eqVq2abBmfY8eOWX3sM888U2CZ7EutXLp0yab4crN161bZz3zy5MlWHWc5ztZkMmHz5s1FjsURLJPPhg0b5jvWmMoGJp9ERGWYTqfDyy+/XOBsriWdZQKmVqut+nJvjT59+iA4OBgAcPPmTezdu1d6Ljk5GX/99Ze0XdQv0EuWLIHJZAJgntRn9OjReZa1TEwtW19t8eyzz+aYKdLd3R116tTB66+/jnv37kll3dzcsG7dOulnkd3du3fxxx9/YMSIEahcubLsObVajfbt22PZsmXYvHmzbBKXv/76S5pAKTfZfy9tWRfS1dVVtl1QK2txCQsLQ1BQUIHlspdp3bp1gcdkf3+yJtGxlDUxEWCe0KqgNWzziiFrzVlLR48elR67ubmhY8eOVtXbq1cvq2NwtJCQEOmx5WcgP2FhYbLj8uLh4SFrkc/t/bGV5czYarUaXbp0seq4Tp06wdvbO9d6ShLL5DP7BZmCLFmyRPb3Lb+/qVlMJhMqVaokO+7u3bsFHjd06FCpvLX/f7LHl3VTKpUoX748WrVqhXfeecfq38OygsknEVEZ8+qrr8q6L27btg0DBgwoMV/ObXXo0CFZC8LAgQNRoUIFu9StUqlkLU6LFy+WHq9cuVL6mbVo0QINGzYs9HlEUZTV3b1793y/zI4ePVpqARBFUbbUi7116tQJJ0+ezPdLbUBAgFV19erVK0esH3zwQZ7ls7d06nQ6q84DmLs1WsreEuoseSXw2WWfqdaahDX7MbktYWLZ1TM8PFzWGl0Qyxji4uJydOu9fPmy9LhevXpWz4wcHh7u8FmUjxw5grfeegvdunVDlSpV4OPjA4VCkeOLv+XMq9Ymh9a+p4B51t0s9lhi5urVq9Lj8PBwq3tfCIKABg0a5FpPSZGRkYErV65I27Ymn9lt2LChwJ/5nj17bE72kpKSsHHjRmn7r7/+KtJ7azKZkJiYiGPHjuHjjz9GeHi4bMmpso7JJxFRGdO0aVPs2rUL/v7+0r4dO3agf//+pTIB/eWXX2TbhV3bMy+WLZpr1qyRxg5aJlFFbfXcs2ePrPWyoCvngYGBstaiJUuWwGg02nTOwMBAad3MrFvWWNlhw4bhk08+wfnz5xEREYF69erZ9oLyMXz4cLRq1UraPn/+fK7dQwH5F3UgZ0tofrL/Lmevy1lsHYdYlONy69JsuQZlRESELPHq2rUrunbtmucaitmXYEpMTMxzOzAw0Oo41Wo1fHx8rC5vi3PnzqFdu3Zo06YN5s2bh127duHOnTtITU3Nt8s3YP3vW2Hf04LOb43C/swB+cWE7O9lSXDmzBmpNwhQtOTTx8cH6enpst4quckay2zL7+Off/4pu9iVnp4uG4drjc2bNyM1NRWpqalITk7G+fPn8dZbb0GhUCAlJQXDhg0r1PqzpRGTTyKiMqhJkybYtWuXrIVw165d6NevHzIyMpwYmW3S0tLw559/StthYWE5Jmopqrp160qTF2VkZOCPP/7A+fPnpfFgbm5uGDlyZJHOYdlt2MfHp8AJQwB519t79+7Jxota49NPP8X169dltwsXLuDgwYP4448/MH36dIdN7jF48GDZ9qFDh3Itl/0LoC1fkLO3Wll2MXyc2aOrZ5bsfyssW3tsbWnOb03Swjp8+DDat2+PgwcP5njOzc0NwcHBqFq1quwCjGUiaY/k0NEsxzJbuy5pFsufeX5jop3FssutSqUq0rqoWZOlLV++PM8ymZmZUnJqOSFTQZYuXQrAPElcWFgYAOQ6IVd+3N3d4eXlBS8vL/j4+KB+/fr49NNPMXPmTADmz9oXX3xhU52lFUf12oEoirh58yZOnjyJU6dOSbe4uDhZGXtKSEjAjh07sHfvXpw+fRrXrl1DcnIyXF1dERQUhGbNmmHQoEF4+umnbRpDQ0RlR+PGjbF792507doVDx48AADs3r0bffv2xT///OOQL4P2tmrVKtmXpmeffVY2oYe9TJgwQUqQFi1ahAsXLkjPDR48GL6+voWuOykpSXY1PiUlxeYvkVlxZW+ZKqnq1Kkj27acAMdS9tlDb9++bfU5bt26Jdu2nEjmcWb5u+Xp6SnrMprVWmxt4ph98hfLvxm29qKwRxdUSxqNBmPGjJFmTBYEASNGjMDo0aPRsmXLPFsJO3XqhH379tk1FkeybNG39cKh5c+8pPQMsGSZfIaHh+cYx22LMWPGYPHixdi1axdiY2Nz7Sq9fv16pKamomrVqmjfvr1Vwxlu3rwpddUeO3YskpOT8dFHH2HXrl2IiYmxaixwfqZPn45PPvkEGo0Gu3btKlJdpQWTTzuYNm1asV6tmDp1Kr7++utcp1jX6/VIS0vDjRs3sHr1atSqVQtLly5FmzZtii0+Iio5GjZsKCWgWQlAREQE+vTpg82bN5f4BNSyxVChUDhs1szhw4fjtddeQ3p6Og4dOoTz589Lzz377LNFqvv333+3y4RPf//9Nx48eGD1+Etnyp7c5PWlOTw8XLZ9/fp1q89h2UXNz8/PpnF5ZZllb4cOHTpgy5Yt0vbu3bsBwOpJa7KznEwnrwsKudHpdDmW1SmqDRs2yH4HfvrpJ6tm37Vny3BxKOzPPHv57EsTlQRFmWwou9q1a6NVq1Y4evQoVq5ciSlTpuQok9UqOnr0aKvHQme1cCoUCowaNQppaWn46KOPYDQa8fvvv2PatGlFitvNzQ01atTAhQsXcOfOnSLVVVqw260dZB+H4+rqiubNmzvsfBcuXJASz7CwMDz77LP45ptvsGrVKvz222945ZVXpKv0165dQ7du3UrsLGdE5HgNGjTAnj17ZON/9u3bh969e5fIrlhZLly4IPvb1aNHjxwzrdqLl5eXbC3ErHGfYWFh6Nq1a5Hqtkygvby8cozDLOiWRa/X29zVy1kse/4AyHOCKF9fX1SpUkXazqt7bnY6nQ4nTpyQtosyGVRZU7duXemxNbN42sKyRfvy5ctWj0O+dOmSzWOWC2LZSlSnTh2rEk+TyZTn+OOSqnbt2tLjS5cuyZacyo8oirKllCzrKQn0er2sh0lRk08A0jq4uXW9vX//PrZv3y4rZ42sv7mdO3dGpUqVULduXWkGaXv9Pc6ajKs0dAO3ByafdhAeHo7XXnsNS5YswZkzZ5CWlobjx4877HwKhQKDBw/G3r17ERkZiUWLFuH//u//MHz4cIwbNw5ff/01Ll++LE34kJ6ejmeeeUY2qJuIHi/h4eHYs2ePrHXo33//LdEJaPb1Le21tmdecmtVfeaZZ2yaLTS7rGEYWd57770c4zALuln2XLHnmp+OtH//ftl29u61liy7Et+4ccOqZWX+/fdfWWtyv379ChFl2fTkk09Kjy9cuGBza1l+LJdiyczMlC3rkp+tW7faLYYsljOWWq6Lm5/jx4/bvQXW0Sw//1qtVmq9Lsi+ffuki2jZ6ykJbt68KUukLWfmLawRI0ZApVLh5MmTOdZYXblyJQwGA1q0aCG7QJOfgwcPSq3rlglr1gzpZ8+exdmzZ4sUs16vl3p8hIaGFqmu0oLJpx288MILWLBgAcaPH49GjRo5fIHc5cuXY+3atejYsWOeX4qCgoLw119/SQPrr1y5kuPLABE9XurVq4eIiAjZGJX9+/ejZ8+esi8pJYFOp5NdVQ4ICMDAgQMdes4OHTqgZ8+eaNy4sXSzZmH5/Fgmi4IgFGriolGjRkmPL168WOJ7sjx48ACrVq2Stt3d3dG+ffs8yw8aNEi2vXDhwgLPkb2MNRM4PS569uwp9X4SRRFff/213eru3bu37DuONe+VwWCQLTNkL5atRNZ2a1+wYIHd43C0Xr16yX7mP/74o1XHff/999JjhUJR4saLZx/fbdkDorACAgLQs2dPADlbP7O2bWn1zJpoyN3dXZrQCPgvyQWK3vq5YMECaViC5YWjsozJZylkuX5ffipWrIhOnTpJ25ZrfxHR46lOnTqIiIiQXWE9ePAgevbsWaJaBDZs2ICHDx9K2+PGjbN6fbui2Lp1K06fPi3dqlatWui6NBoNfv/9d2m7Xbt2heo2PGzYMNkaiY5c8zM7vV6f6/wCeTEYDBg/frzsYsbw4cPzXaqiW7duslaPb775BpGRkXmWP3jwIFavXi1t9+3bF7Vq1co3rqwW7KxbRESEFa+mdPL29sYrr7wibc+bN69Qrze3hC4kJETWyrxy5coCJ+/58ssvZWs52kvWrKOAuZWvoL9f69evx8qVK+0eh6OFhITILtCsX78e//zzT77HbN26VTZLeM+ePUvchFzZ1/S1V++8rORyxYoV0gWKy5cv4/jx41AqlVZfANTpdNLPsH///rKZuQMDA6Ukd8WKFTZ3KTeZTLhz5w7mzp2Ld999FwDg4uKS6zjVsojJZxln+WEpTcsrEJHj1K5dG3v37kXFihWlfYcOHUKPHj1KTBfc7N1L7b22Z3H466+/ZJObWLZg2iIoKEg2QcyqVavsPnNoXu7du4e6devip59+KnAZlGvXrqFr166yCW48PDzw/vvv53ucQqHARx99JG2np6ejf//+uU6+cfbsWQwbNkz6oqpQKDB37lxbXtJjYfr06VJCr9Pp0Lt3byxYsCDHF/7sHj58iF9//RXNmzfH+vXrcy0zd+5c6UKQKIoYNGhQnsntjz/+iLfffhsA7D5LddaXf8A8idC4ceNy/Z4jiiJ++eUXDB8+3CFxFIcPP/xQNonXiBEj8Pfff+dadvPmzRg2bJi0rVar8cknnzg8Rltln434yy+/tMs61AMHDoS3tzeioqKkHn9ZrZ49evSweq3UjRs3Sn/zcmstzep6Gx0dbdUstU8++aR08UupVKJKlSqYMWMG9Ho9XF1dsWTJkhwTsJVVnO22jLPsi16UK/hEVLbUrFkTe/fuxZNPPil9yT9y5AimT5+OTz/9NEf5v/76C2+99VaO/dm7644ePTrXZRw+++yzHGs/5uX27dvYsWOHtP3EE09YPUanJLFMoFUqlWxCI1uNGjVK+pmkpqZi9erVRe4SbK0bN27gpZdewiuvvIK2bduiSZMmqFatGnx8fGAwGBATE4P9+/dj9+7dstYLlUqFP//806rudP3798fkyZOlroIXLlxAvXr1MHr0aDRp0gR6vR6HDx/GmjVrZOPEPv30U6vH+z1OPD09sW7dOnTs2BExMTHQaDSYMmUKypUrhxYtWuDkyZMoX748TCYTkpKScO3aNZw+fRonTpwosBUnPDwcc+bMkZLKhIQEdOnSBT179kTXrl1Rvnx53Lt3D+vXr5dmMx0/fjwiIiJyLI9TFAMGDED9+vWlSWs2bNiAWrVqYcSIEahXrx5MJhMiIyOxYcMGafxfr169kJ6ebvVY1ZKidu3a+Oqrr/DCCy8AMF+gGThwIDp06IDevXsjKCgIDx48wLZt27Bnzx7ZsZ9++mmR1s90lIYNG8Lf3x/x8fEAgB9++AG//vorQkJCoFKp8P3336NHjx4215vVRXbJkiVYvnw52rdvL/VAKUyX2woVKqBXr145nh8wYAB8fHyQkpKCZcuW2RyrSqVCjRo10LVrV7z66qs5lqcqy5h8lmE7d+6Uurqo1epCfYiJqOyqUaMGIiIi8OSTT0rjby5fvoy33noLHTt2lK1tmZKSIlvWIC/R0dG57relS+/ixYtlSUxpbPWMjIyUfQns3r17njO+WmPQoEGYNGmS1BXy119/LbbkM4ter8e+ffusWiMxNDQUS5YsQffu3a2u/+uvv0Zqaqo0hio9PR0///xzrmUFQcDbb79d5GUOyrKaNWvi+PHjGDx4MI4cOQIASE5Oxq5du6xqqbHs6p3d9OnT8fDhQ8yfPx+AuXVx69atuU4s1LFjR3z33XeoX79+IV9J7hQKBdasWYOOHTtK6xhHR0fnufRd27ZtsWLFihxjjEuL559/HqIo4uWXX5a6wv/77795JtIKhQKff/45Xn/99WKM0npubm6YN2+ebKI3nU4nXaAoSjfhsWPHYsmSJVi9ejWGDh2KqKgoeHl5WT02PD4+XurB0b59e9msvJbatWuHLVu2YN26dUhPT8936bLNmzejQ4cOAMzvTWHWei4rmHyWUenp6Zg0aZK0/corr9i8xlNe/yhu3LiBwMBAq2dcIyLHunjxYo5tWz6fH330EaZOnSotj3HlyhW0bt0an332Gby9vXM9R2FitCYmURTxww8/SNseHh5F/nuTPfYjR47YZQZQyxa4mJgYWYyLFy+WTYjSuHHjIv/NbNmypfRFc//+/fjtt99kY0iL+nuQm/T0dAwYMABnz57F7du3CxyXFRoair59+6Jfv35QKpU2n/+ZZ55B1apVsXz58jzHfdarVw8TJkxA06ZNra4/JiZGtn3y5Em7zgBvWX9SUpJVcWV/v6w5JjY2VrZtzeuYO3cu9u7diz///BNXr17NdzmHkJAQtGzZEl26dIG/v3++MfXu3Rs+Pj746aefZDPPZvHx8cGAAQMwbtw4HDlyRDaGNDIyMs+6Ld93jUZT4M/lm2++wbfffosDBw7k+tr8/f0xYMAAjBw5EqdOnZJ1hc/+ubVUmPc0K2bL12LP70o1a9bETz/9hF9//RVHjx7NdTy2QqFAixYtMHHiRNSoUcOq8zsy5vyEhYXhyy+/xF9//YVLly4hOTkZer0eHh4euHXrVo5JibKz/AwdOHBAWgPZZDIhICAADx48wLhx4wCYLz5YTtaW17GAeVxt1t/39evX59kFPUt6ejo+/PDDHBfbLM9x6dIluLq65ltPUZWWVS0E8XFZVMYJLGeiLc4fs8lkwlNPPYWNGzcCMK/5dezYMXh5edlUT0HJ55IlS4oaKhGVMFljCfO7gkuPp8zMTERGRiI2NhaJiYnQaDRQKBTw9PRE+fLlUadOHdkXuKKKjIzEzZs3ER8fD4VCAX9/f9SpU+exWY7AEWJiYnDx4kVkZGQgNTVVev9CQkIQFhZW6Pfv0qVLuHnzJpKTk+Hj44Pg4GA0bty4WCYJy/LgwQOcO3cODx8+hMlkgp+fH0JDQ1G/fv1SOc6zIGlpaTh79iwePHiAtLQ0eHp6okKFCmjcuLF00bCs27p1K+bNmwfAPBbe8vf3559/xh9//CFtf/bZZ2jevLlVx7788su4fPmyTbE0a9ZMqi+3c3z++edo0qSJTXXa6plnnoG3t3eeLbUlBVs+y6CXX35ZSjzLlSuHtWvX2px4Asjzl7d+/fpIT0+XTYBBRGVD1hVvfr6Jyp7du3cjJCTE7p/vkvL3ImtSocfFgAEDnB2CU1m2jLZr1w6VKlWStgMCAqTkMzQ0FFOnTpVdhMjr2CtXrkiJ5+zZszFr1qx8Y5gxYwbmzp2L06dPo06dOrKJ/CzP0axZM3Tu3LkQr9J6peUiS+mIkqz22muvSWtA+fj4YOvWrY/N7FlERERERA0bNsSVK1dw6dIlHD161OrELGuiIQBWLcuSVcZkMmHFihWFC/Yxw+SzDHnllVekxaTLlSuH7du3o02bNk6OioiIiIioeNWuXRt169aVtUbmRxRFaWbcZs2aoXbt2gUeU79+fTRs2BAApMnSKH9MPssAURQxadIkfPvttwAAPz8/7Nq1C61bt3ZyZEREREREJd/evXul2XatafXMklX23LlzOHPmjENiK0uYfJZyJpMJEydOlLraZs1OZzmomoiIiIiI8pbVcikIgk3jh0eMGCE9tuy2S7njbLcO5OjZbo1GI5599lnpwxIYGIidO3dKzf+OkjXhUFRUlEPPQ0TFjxMOEZVd/HwTlV1Vq1aFp6cnZ7slxzAajRg7dixWrlwJAAgODsauXbs4uRAREREREZVI7HZbwnTu3BmCIEAQBMyePTvXMgaDAaNGjZISz4oVK2Lv3r1MPImIiIiIqMRiy6cdJCUlYf78+fmWmTFjRo59H374YaHO9+yzz+LPP/8EACiVSkyZMgUXL17ExYsX8z2uSpUqaNasWaHOSUREREREVBRMPu0gKSkJc+fOzbdMbs8XNvn8999/pcdGoxHTpk2z6rjx48djyZIlhTonERERERFRUbDbLRERERERETkcWz7toGrVqnabzTYiIqLAMpxlloiIiIiIShu2fBIREREREZHDMfkkIiIiIiIih2PySURERERERA7H5JOIiIiIiIgcjsknERERERERORyTTyIiIiIiInI4Jp9ERERERETkcEw+iYiIiIiIyOGYfBIREREREZHDMfkkIiIiIiIih2PySURERERERA7H5JOIiIiIiIgcjsknERERERERORyTTyIiIiIiInI4Jp9ERERERETkcEw+iYiIiIiIyOGYfBIREREREZHDMfkkIiIiIiIih2PySURERERERA7H5JOIiIiIiIgcjsknERERERERORyTTyIiIiIiInI4Jp9ERERERETkcEw+iYiIiIiIyOGYfBIREREREZHDMfkkIiIiIiIih2PySURERERERA7H5JOIiIiIiIgcjsknERERERERORyTTyIiIiIiInI4Jp9ERERERETkcEw+iYiIiIiIyOGYfBIREREREZHDMfkkIiIiIiIih2PySURERERERA7H5JOIiIiIiIgcjsknERERERERORyTTyIiIiIiInI4Jp9ERERERETkcEw+iYiIiIiIyOGYfBIREREREZHDMfkkIiIiIiIih2PySURERERERA7H5JOIiIiIiIgcjsknERERERERORyTTyIiIiIiInI4Jp9ERERERETkcEw+iYiIiIiIyOGYfBIREREREZHDMfkkIiIiIiIih2PySURERERERA7H5JOIiIiIiIgcjsknERERERERORyTTyIiIiIiInI4Jp9ERERERETkcEw+iYiIiIiIyOGYfBIREREREZHDMfkkIiIiIiIih2PySURERERERA7H5JOIiIiIiIgcjsknERERERERORyTTyIiIiIiInI4Jp9ERERERETkcEw+iYiIiIiIyOGYfBIREREREZHDMfkkIiIiIiIih2PySURERERERA7H5JOIiIiIiIgcjsknERERERERORyTTyIiIiIiInI4lbMDKAtEUcTNmzdx8uRJnDp1SrrFxcXJyjjK+vXr8fvvv+P48eOIjY2Fp6cnwsLC0L9/f7zwwgsIDQ112LmJiIiIiIisweTTDqZNm4Yvvvii2M+bmJiIkSNHYtu2bbL9Go0G8fHxOHnyJBYsWICff/4Zw4YNK/b4iIiIiIiIsjD5tAOj0SjbdnV1RYMGDXDixAmHnVOj0aBfv344ePAgACAgIAATJ05EgwYNkJKSgnXr1mH79u1ITk7GqFGj4O7ujv79+zssHiIiIiIiovww+bSD8PBwvPbaa2jatCmaNm2K8PBwqFQqCILgsHPOmzdPSjxr166NPXv2yLrXvvTSS/j8888xbdo0GI1GTJw4EdeuXYOPj4/DYiIiIiIiIsoLk087eOGFF4r1fCkpKfj000+l7WXLluU6rnPq1KnYtWsXtmzZgvv37+PLL7/ErFmzijNUIiIiIiIiAJzttlTasGED0tPTAQDt27dHq1at8iw7depU6fGKFSscHhsREREREVFumHyWQps3b5Ye9+3bN9+ynTp1gqenJwDg6tWruHbtmkNjIyIiIiIqDUSTCcaYSBiuHIfx3nWYUuIhGg3ODqtMY7fbUujs2bPS4/xaPQFApVKhadOm2L9/v3RsrVq1HBofEREREZU9otEAMSMVyEiBmJECMSMNcFFDcPWA4OYBZN2r3SEoSl4bl5iRCuP1049up2C4fhpIT85Z0LMcFN5+ELz8IHhb3LK2vXwBkwmiXgsYdIBOC9GgA/Ra8z591uNH9wYdBIUKglc5wLMcBM9yELx8H92Xg+Dpa7738IGgcrH+9YgiYNQDBj0E0WS3n5MjMfksZURRlLVeVqtWrcBjqlWrJiWfly9ftkscJpMJSUlJdqmLiEqOtLQ0AODnm6gM4uf7MaHNBOKigPu3AJ0GEE2AyfToXjTfi6J8/6N9gl4LZKYBGalApsUtIw3ITIWgzbA6DFHtBriaE1G4upsfu7oDStWj84sAsu6R9z6FAvAuD5QLgOhTASiXdQsw37t5AblN8mkyAbGRQORZCFHngJvngLhICFl15yc9Gab0ZABRVr9eexHdPAEPH8DNEzAZAaPh0U1vvjfopX2C6b8VN9ySYwEv72KP11ZMPkuZtLQ06PV6abtChQoFHmNZxpZ/OPXr1891/40bN6DVauHn52d1XURERETZqQTABHNORLbxdVGgdjkX1PFRo045F9Qpp0YdHxeEeVnfcuZIgk5jTn7tWWcu+zIMJsRmGhGbaUBsphEPtUbU8nZBM383lFOXvNbXggiadECT7uwwHIbJZymTmpoq23Z3dy/wGMsyKSkpdo+JiIiIKDd+agUqe6pQyUOFSp4qVLF4XMlDhSB3JfQm4FSCFkceaHD4gQZHHmoQry2eLoQCgCB3JSo/iq2yhwqVPVXwUCmQoDMiQWNCvNb46GbCw0ePE3WmfBNmL5WAQHclgtxUCHJTIsBdiSA38y1rv4sCyDSKyDSIyDCaoDGKyDCI5n1GEzIN5ueytpWCgNo+LqhbTo3aPi4I8eDXeADwUClQ3VuB6t6FT7ozDCZ4qEpfoloa8beW8nThwoVc99evXx8XL14s5miIiIiosJQCUNFDBZUA6E2AziRCL4rQG0XoTIBeFPNNplwUgI+LAuVcFPB2UcDHRQEftcXjRzc/tQKhjxK4Sp4qeFrxhd5VCbQJcEObADe89mjf9RQdDj/Q4shDc0J6LUWPwjSO+rgI8HdVouKjmKp4qlDZ0+XRvQoVPVRwVdq+LrtJFJGkMyemDzUmJOuN8FX/l1xa87pLO51RRKreBBelAC+VAIUD17e3J61RxOkELY7Fa3Dsgfn+XoYRLgrAT62Ev6sC/q5KlHf977Hfo3t/VyXKqxXwc1XCYBKhNYnQGh/dTCI0RhE6owiN6dG9UYTuURkXhQC/R8f6qhXwVSvgpzbX/Tj8vmRh8lnKeHvL+3JnZmbm2JddZmam9NjHx8cucVSuXFk28RERlQ379u0DAHTs2NHJkRCVUqIIJMWZx5oplOZxW67miVjwaEIWKJSOObcuE3h4D3hwF3h4F8LDu8CDO+bthBjZ+LBcQxcU5vF4KhfzfdbYvMw0CAadY2LOQ00fNWr6qDGmhvk7juhZDqjWEGL1xkDluuZxb+nJQFoShPQk8+P0JCAt+dFj83ZBr7mwFIKA8o8SlFr2+WplV6IgAP6h5rGSgsI8JjLrXqG02FYACgEQlOZ7hQrw8AbcvSG6ewMeXoC7t3kMorv3o+fM+1QurvDLSjhFESa91jzeVJcJaDPMj7WPHussHpuMAIRHfWiFR7EIOfdl3Rv1EFLigeSHQMpDIOkBkPIQQoZ1vfnE8iHm352qDYFqDeFSqQ5auqjR0hE/+EIy6XVARor5lp5sHmerSTe/V7LPpMVnM+vxo+cy9naHl7NfiBWYfJYyXl5eUKlUMBjM00A/fPiwwOTz4cOH0mNfX1+7xKFQKOxWFxGVHF5e5n9d/HwTWUfMSIXx5lkYb5yF8cZpGG+cgZj0IP+D1G4Q3DwBN08Ibp7m2UHdPCGo3QClyjzbpcUXTEEl/7IpZH3hNOhhenAHpthbMN2/DTExrkivRRBN5pk7iznRtIaQngyc3w/h/H5nh1KyKFVQBFWFomJNKCrWgLJiTSgq1oIipJr596kME3UaiEkPYEqMk92LKQ8heJeHsmYTKGs2gcIvyNmhWimwSEfbMkuuMzH5LGUEQUDt2rWlbq+RkZEFzngbGRkpPa5bt65D4yMiIiqrRIMepjtXYLxxxny7fgammBv/zcxpLZ0Gok4DpMQXqitpqSMoIPgFQuEfCqFCKBQVKpof+4dC4R8CMfkBDFdPwHj1BIzXz5hbx4qbSg2FfwiEChWhqFARgocPxPQkiCkJEFMTYUoz3yMjteC6LLl5QlGuAgTfAAjlAiD4VoCiXIB528XV/Hvw6PdBfNRqKOq05nttpnkJj6xWQ5MJQmBlKCvWMCeYFWtCERRWapIOexPUbhACK0MRWNnZoeRKl5SIhDOnEH/6JJIvX4RJp4VbYBDcg0PhHhwM96AQeASHwD04BC7lfCGUkm7LRcXksxRq1KiRlHwePXoUXbp0ybOswWDAqVOnZMcSERGVRqJOC1P0DRjvXIHp7lVzInj3KsSEOHNLoNoNgtodgtoVcHWH4OIGuLqZW4Cy9qvdzduCAhCN5rX6pGUnjI+WnhDNjx8tPyGajBAfRsMYdQHQa539Y3A+pQrCoy6YgrsXBA9vCO7mx/DwhsIv0JzA+Yeak0y/wAISpHpQNTJ39ReNBphuX4Lx6kkpIRUTYoses5snFI8S36wE0/KxUK6CVetSigYdxNQkiKmJEFMTHt0SIaYnm9do9A2AUK4CFI/uBTfPosf+GBFFEbrEBGTGxSIzJhqZcTHQp6ZC5eUNta8v1OV8ofb1g6uvH9S+flB6eJSIpM2k1yP58kXEnzqBhDMnEX/6JNIib1h9vMLVTUpE3YOC4R4cAreAQAhKpflvUNYyNCIgZi1Fk7X/0d8wMSMD8Cz5v29MPkuhPn36YNWqVQCAzZs34+23386z7N69e5Gebp6uuVatWqhVq1axxEhERFRYoskIU9xtc4J525xgmu5ehSk26tF4sVzotebF3NOTS0ZrorsXBJUaoibNvOB8MRJ8A6EIqgJFYBUogsLMj4PCsP/KLZhcXNG5Q3vAoIdo0EsL1IvS+oGP9hserSsImBPNrCTTwxtwcXXYF35BqYKyWkMoqzWEuud4AIDpYTSM1048SkZPwvTgrjnp9fKF4OUHwdsXgrcfBC8/KKR9j/Z7+UHw8jV3a7ZDzIJKDcEvEPArWhfJskA0GqFLSoQoXcARIWZdvBHFnEmSCIgmE3RJCciMjUVmbDQy42KREWO+z4yNRmZsLEw66y/wKNRqqMv5otvGnXAPzL97rT4tDee/+BhC1oItj8aaCoKAOi+8DLeAgt/TzNgYiCYTTAY9Es+dkZLNxPPnYNIWflkZk1aDtFuRSLsVWXDhPIgZaQACCn18cWHyWQoNGDAAnp6eSE9Px7///oujR4+iVatWuZb9/PPPpcejRo0qrhCJiIjyJGakwpQQCzExznyfEPPoPg6mhBiYYiJLVwuj0gWKsHpQ1mwMZfXG5nFmQWFSS5po0APaDIiadIiZ6RAfreMnatIhajLMjzPNSaooLSRvTv5EiwXmRUO2xeYBc+tiVoIZGAZFYGXzGNJcGG/Fm4951Brn/PYi65hbLEPh0ra/s0N5LGXEROPakoXQPLgP7cMH0Dy4D83DB9AmxNve5dzOTDodNA/uw8Wr4Kl2jJkZuL7kl1yfqzZslFXJ5+HXXsLDY4dtjpP+w+SzhOncuTP27t0LAJg1axZmz56do0y5cuXw5ptvSs+NGzcOu3fvRmhoqKzc559/ji1btgAAKlSogClTpjg0diIiIgAQtZkwxdyE6d51GGNuQoyPgSkhDmJCLEwJsYAmzdkhFokiuCqUNRpDWaMxFDUaQxlWD4KLa57lBZULoCoHwbNcMUZJZJZ89TKuLf4ZxsxMGDUaGLUaGDUaiEYjnvzz7wKPN6Sn4erC74sh0sJRqNVQuud+wcVqVraKGy1WkChpnHwdwGpMPu0gKSkJ8+fPz7fMjBkzcuz78MMPC33Ot956C1u3bsXhw4dx5coVNGnSBM8//zwaNGiAlJQUrFu3Dtu2bQMAKJVKLFy4EOXK8Z8eERGZiaIIpCdDFEUI7p4QVGrb69Ckm8dg3rsO091r5mTz3nWID+449JuQEFAJysp1oKhUG8rKtaEIrmru0qfTPJqw5b9JXKTJXHQaQJsJUa8BdFpzfFnLTijMS04I0jIUWctPKKRlKQRXDyir1YeyeiNzN04iBzHp9ci8H4vM6GhkRN9FRvQ9ZETfg+bBfeiSk6BLSoQuJRmBT3RAq3lfF1if9uEDRP7xe67PiaJYYHdka1oEnUnt62dVl2oxv79JViafBk3JTT5LCyafdpCUlIS5c+fmWya354uSfLq7u2PTpk0YMWIEduzYgQcPHuCjjz7KUc7Hxwc//vgjnnrqqUKfi4iISi9RFM3LENy7BuOjBDHrJqYl/lfQRQ3Bzcs8Ns790RIg7lnbXuaumu5egDbjvyTz4T2Hxi74+ENRubaUaCoq14GyYk1zXEQljGg0wmQwQDQYYDLoYdKbu0qbjAaI+mz7DHpo4x9KiWVG9D1kxJjvM+NizRNfFUATZ91ETEq3vJdcMWk1ULq553u8i085KNRqmHQlbwkeAFBbuzRYPsmnteOBC9Py6RYQiPJNm8M9MNh8USEmBplxMdA8uF96mivtiMlnKVa+fHls374d69atw++//45jx44hLi4Onp6eCAsLQ79+/fDiiy+iYsWKzg6ViIgcTBRFc7fWR4mh6d41mO5eg/HedfPC5QXR6yDqE4DUhGKbsEfw8oNQPhiK8sEQygc9ug8xj/GrVBuKchWKKRIi65kMBqRcvYz40yeRcMZ8S428CVGvL9Y4dMnJVpXLL7k0agpOPgVBgKt/BWTGRNsUX5EpFHAPDILarzwM6WnQJSVBn5LzNavL+VlXX76JnpXJpyb/ZYAUrm4o37AxyjdphvJNmsG/cTO4h1bMNbk16fXQPLiPzLgY2QRMmbExyIiNgS7JfHFQeDQxUtbkSP89VgDCf88Luw9a9RqcjcmnHVStWjX/pnwbRERE2HzMoEGDMGjQILucn4iISi5zK+Z9mGJvwRQXZb6PjYIp7hZMcbecsz5iXgQBQkBlKENrmCfBkZLMR/d+QeYlT4gcKGtCGkGlgouPD5Ru7jbNeiuKIjKi7yLhzCkknD6JhDOnkHj+TIkY+6dLTiy4EPJv+TRqrJuh1a1CoF2TT6Wbu3lJkZAQuAc9uj167PHo3rVCABQqeapiMhigT0mGLikJuuRE6BIToXTPP3nOonB1RWj3XlIS+t/yJSJUHtaNGTVke9+9q9dE+abN4d/YnGyWq1MPChfr1l1VuLjAI7QiPELt00ikqFrVLvU4GpNPIiKiEkZMTzGvZRkbaU4us5LNuFvmxeZLEkEwL+lRsRYUlcwL3ysr1oQipHqes64SFYfYvbvx77MjZfsUajVcvH3QZMYHqDLw6XyPv7d9M07MeAvahw8cGWahWd3y6Vr05DO4Y2d4V68BtwoBcK0QALeAQPNj/wpQurr+1yoHwTzLsyDIWuUgCOYlTgQBKg8PuJTzLdTSNwqVCq7l/eFa3t/mY139yqPdT7/ZfJyl3rsOwZCRAZNeB/fgEKh9OJ+KrZh8EhEROYloNMAUEwnTncsw3r4C0+3LMN65DDE+xv4nc3WHIrQGlJVqmRPFijWhDK0BuLpDzEwHNGkQM9P+WwokM+3R0iBp0lIgYma6OdkMqfZfPSHV2IJJdmcyGKC5H2deAzI22nwffQ8ZsTFw86+AZnM+LbAO1wo51zw06XTQxj+0aoIZVz//Ept4AoA+JRmiySQt6ZMXF28fVO73FJTu7lC6uUPp5gbVo3sXHx+rztVg6v/sEXKp5x4U7OwQSj0mn0RERMXAlPzQnFzevvxfsnnvOmCw8yQebp7/tT5KLZG1IPiH5v0l1cohU0T2IhqNSLsVieSrV5Bx786jJDMGGTH3kBkTjcz7cXlOuuMZVtWqc3iEhOb5nLqcb4HH+zZoCEGphGg0WnU+R3Dx9oF7SCg8QivBIyQUruXLw6WcL9Q+5cwT7Vgx7MvFxwdtvv7J8cESWYHJJxERkYOYEu9Df/Bv6A9sgOnWRftV7OIKRVAYFMFVc9wL5YML1Z2NyBFEUYQmLhbJVy4h+epl8/2VS0i5fg0mrXVdPrPLjImxaokQtV95KFzdcj2PixXLz6ncPVCubjiSLpwrVJwFEVQqeISEwj2kojT2LyvJ9AitCI+Qila3TBKVFkw+iYiI7EjUpEN/bDv0+9fDeOEgIBa8ZEKulC5QhFQzJ5bZkkzBL6jArnZExc2QkY6kC+dlSWby1cvQJyfZ9TwmnRba+Idwy6VbrSVBEOARHIK0W5E5nrN2rF75xs3yTD4Valf41m9gnmymcVO4h4RCoVJBUKqgcHGBoFJBoXKBoFJCoXLJsU/p6sbPMT12mHwSEREVkWg0wHjhIPT7N0B/fJvNkwIJ5YPNa1lWqQtl5bpQVKljnrBHZd2siUTOkn7vDmJ27UDMnh24f+gATDptsZw3MzamwOQTANxDQ3NNPl2sTD79mzTDzRXmSWq8qtWAfxNzolm+cTP41qsPhVptW+BEjzkmn0RERIUgiiJMty5Cv3899Ic2QkyyYmISV3coKtWGsnIdKKvUfZRs1oHg5evweInsQTQaEX/6JGJ2b0fM7h1IvnLJKXFkxNyDX4NGBZZrOnOuNPuqLjnZvExHcpJVYz4BILhTF3RYsgrlGzWB2peDo4mKisknERE99sT0FIjpyRB1mYBWA1GXCVGbCeg0j+4zIeo0gDbTXEaTAcOFgzDdvVZw5W6ecGnVCy7tn4KyXmsICqXjXxCRHelTUhC7PwIxu7YjJmIXdIkJxXp+pYcHPEIqwj045NEYyVB4hVWz6thydeoV6dxuAYEIDggsUh1E9B8mn0RE9NgRTUYYb5yB4dQeGE7tgem2nVtvFEqoGnWAS7uBUDXvDsHVukXQiUqK5KuXEbNrO+L278WDY4chGgyOOZFCAa/KYfCoWMk8q+ujm3twqJRouviU4yRaRGUEk08iInosiOkpMJzdB8PpPTCc2Qcx1f6tN4rqDeHSbiBc2vaHolwFu9dPVFiGzAwY78dZXT7x3BmcmzfXrjG4B4egXJ168KldF+Xq1DM/rlETSjdenCF6XDD5JCKiMkkURZiib8BwajcMpyNgvHIcMNl/vT7BPxQu7QfCpd1TUFasaff6iQojas0qRK5ZBc2D+9A8iIMhLQ0AoG7aEhgxssDj3YNDCn1ulZe3lFxKt9p1OGaSiJh8EhFR2WK4chyGw5ugP7UH4oM7tlegdoOgdgdcs+7dIajdALU7BNese3cIXr5QNXkSyjotuFwCFQt9SgpUnp4QlAWPG868H4eHRw/l2G+0crymR0ioTbH51m+IkC7dEdqlO/waNuFngohyxeSTiIjKBMP109D++bl5bU0rKSrVgqrJk1A17QJl1frmxJNfmqmEMOl0iD91HHEH9iHuwD4knDmFLmv+gX+T5gUe6x4YlHudifFWnds9KP+WT4WrG4LadUBIlx4IebKbzckqET2emHwSEVGpZrx9GdrVX8JwcmfBhV3UUIW3fZRwPglFQCXHB0hkJVEUkXz5Iu4f+BdxB/bhwdGDMGbK14y9f2CfVcmnWx4ztIopyTDp9VC45L+GrMrTEy4+5aBPSZb2uQeHIOTJ7gjp0h2BT7SHyt3DildFRPQfJp9ERFQqGWMioV27AIbDmwBRzLOc4BcMVVNzsqkKbwvBjV+YqeTQJiYgdu9uxEbsQtyBfdDGP8y3fNz+faj38pQC680r+YQoQnM/Dh4VC77wEtC6LYxaLSo0b4XQrj1Qrl59zjpLREXC5JOIiEoV08NoaNd9A/2+tXlOICT4BUHddRRUzbpCUaUuvzBTiSGKIlJvXEP0ru2I2bUdD08eA0wmq49/ePIYDBnpUHl45lsuz+QTQGZcjFXJZ7uffrM6LiIiazD5JCKiUsGU/BC6Dd9Dt2slYNDlWkbwLg/1gJeg7jbaPEkQUQlg0unw4NhhxOzajug9O5B+K6rQdYl6PR4eO4LgTl3yLeda3h91J70Kt4DAR7cgnL5xA4pyvvBv1rLQ5yciKgomn0REVKKJaUnQ/rMQuu2/AdrM3Au5e8G170Soez0Lwd2reAMkyoU2MQGxEbsQvWs7YvftgSEt1W51Pzx5rMDkU1Aq0fDNd2X7lGkZdouBiKgwmHwSEVGJIWakwnjnCkx3rvx3H3UR0ObxpVntBnXPZ+Da73kIXr7FGitRdrqUZNzd/Ddub/gLD44dtqk7bX5UXl4IbNMOge06IqhdR3jXqGWXeomIihuTTyIiKnaiQQ9TzM1HSeZVmG5fhvHOFYjx0dZVoHSBuutIqAdOhsI3wLHBEuXDpNcjdt9u3Fq3BtE7t8Gk0xa5TkGlgn/TFghq1xGB7TqifKMmBc5OS0RUGjD5JCIihxFFEeLDaBjvXoXpzhWY7l41t2jeuwEY9bZXKCjg0vFpuA56BYqAivYPmMgKoigi8exp3Fq/Gnf+WQ9tvHVrZ+bHo1JlhHbpjuCOXVChVVu4eLH7OBGVPUw+iYjILkypCTDdtkgw716F8c41QJNW9MoFAarWfeD69OtQhlYven1EhZB+7w5ur1+LW+tWI/Xm9aJVJgjwb9YCoV16IKRrD/jUqsNZmYmozGPySUREhSKmJUG3fRkMV47BdOcKxOT81ye0mlIFRUg1KCrXgbJyHfN9tYZQ+OW9dASRvYmP1sNMv30LyVcv484/6/HgyMEi1any8kJwxy4I6dIdIZ27wrW8v52iJSIqHZh8EhGRTUSDHvpdK6BZ+xWQnlykuoTyweYEs0pdKdFUhFSD4OJqp2iJCmf3kL5IOHWiyPV4VgmTWjcDWraBQq22Q3RERKUTk08iIrKa4cxeaJZ/BFO0jV0OPbz/a8WsVPtRq2ZtCJ7lHBMoUTaiKELz4D7cA4OsKu8eFFLoc7mHhKLKgMEIG/g0fOrUY3daIqJHmHwSEVGBjNE3oP39IxhOR+Rf0EUNRcVaUFauDUWl2uaEs1JtCOWD+QWcip0oiki5ehl3N2/Enc1/Q/PgPgYcPW9V66NXlao2nUvl6YmKvfoh7KkhCGzTDoJSWcioiYjKLiafRESUJzE9Gdq/voZux3LAaMi1jKpVb7i07QdFpdpQBFWBoOS/FnIufUoKrv76I+5s2YjU61dlz8Ud/BchnbsWWIdnlbCCT6RQIKh9J4Q9NQQVe/SGysOzsCETET0WSv03hMjISPzwww+IiIjAjRs3kJKSAlMBizoLggCDIfcvUUREBIhGA/S7V0G7ZgHEtMRcyyiq1ofb2PegqtuymKMjyp/CVY2ri3+CIS3nTMt3N/1tVfLplU/yWa5efVQdNAyVBwyyuhsvERGV8uTzt99+w6RJk6DVmhd0FkXRyREREZV+PvcuIv2dz2C6ey3X5wXfALgOmwaXDoMhKBTFHB1RwZSubgjt1gu316/J8dy9HVvQXDevwK63li2fLt4+8AqrhsAn2qPKwKfhW6++3WMmInoclNrk8+jRo5gwYYJ5AXNRRFBQEJo3bw5/f38o+GWIiMgmol4L45XjqLnjW/jePoNc+4+4qKHuPQGuA16C4O5V3CESQTQaYdRooPIsuHtr5b4Dck0+9SnJiDuwDyFPdsv3eI/QSui6biu8wqrCpZwvxywTEdlBqU0+58+fD5PJBBcXF3z33Xd47rnnmHQSEVlJFEWY4qJgPLMPhrP/wnDpMKDNhG8e5VUte8Ft1NtQBFYuzjCJYNRqcf/QftzbvhnRO7ai6pARaDT9vQKPC2rfGSovbxjSUuVPCAKSLl0oMPlUqFQo37hpUUInIqJsSm3yeeDAAQiCgDfeeAMTJ050djhERCWemJkGw4VDMJz7F4Yz+yA+uFPgMYqwcLiNnQFVvdbFECGRmT4tDbERO3Fv+2bEROySjd28t30LGr41o8CWSKWrKyp274Vb61YDgoAKLdugcp/+qNirH8dpEhE5SalNPuPj4wEA/fr1c3IkREQlk2gywXT7krll8+w+GK+eyHPG2uwEH3+4Dp8Gl45PQ1BwyQhyPENmBu5t24zbf6/D/YP7YNLpci2XFnkDqdevwqdWnQLrrD5qPMo3boqKPfvCPSjY3iETEZGNSm3y6e/vj9jYWLi7uzs7FCKiEkXMSIVu72roti21qnVTIghIq1AVSVUao95LsyF4eDsuSCKYu3/HnziGqLWrcGfThlxnp83Nve2brUo+KzRviQrNORszEVFJUWqTzxYtWuCff/7B1atX0axZM2eHQ0TkdKa4W9Bt+w26vWsATbpVxwi+AVA16ghVo45QNmiH48dOAQDCmXiSA2XGxiDqrz8RtfYPpEXesPn4e9u2oN7LUxwQGREROVKpTT5feuklbNy4EYsWLcKIESOcHQ4RkVOIogjjpSPQbV0Mw8ldQEFLTildoKzbAqqGHaBq3AmKynU4iycVC6NWg+gdWxG5ZhXi9u8FCliTOz/J165Am5gAV7/ydoyQiIgcrdQmn71798bzzz+PhQsX4t1338XcuXOdHRIRUbER9VroD26EbusSmG5fyresEFQFqkadzC2c4a0huBW8TAWRPYiiiMSzpxG1ZhVub1wHfUpyoety8fZBSJfuqNi9N4I7dbFquRUiIipZSm3yuW/fPowaNQqXL1/GJ598gs2bN2Ps2LGoV68ePK34h9SxY8diiJKIyL5MyQ+h37kCup3LIabE511QUEDVsifUvZ6BsnZztm5SsdKnpeHWutW48fsSpFy9XOh63AKDENqtFyr27IPA1k9AoVbbMUoiIipupTb57Ny5s+zL1NmzZ/Hmm29adawgCDAYrJvxkYioJDAlPYD2z8+hP7ABMOQ+CygAwMMb6s7DoO4xDoqASsUXIBGAlOtXcWP5YkT99afVkwdlp/b1Q5WBg1Gl/yCUb9IcAtfwJiIqM0pt8gmYu/MQEZV1pvhopH8wAuLDe3mWUQSFQd3rGbh0GAzB3asYo6PHnclgQPTObbixbBHuH9pfqDoEpRLBHZ9E1SEjEdKlO5SurnaOkoiISoJSm3wuXrzY2SEQETmcKfkhMj4el2fiqazfFupez0HVpDNbiKhYaR7cx80/luPmymXIjIkuVB3eNWuj2pARqPLUELgHBtk5QiIiKmlKbfI5fvx4Z4dARORQYnoyMj55BqaYSPkTLmq4PDHQPJ6zSl3nBEePpax1Oa8vW4S7W/+BqNfbXIeLtw8q9x+EakNHwK9RU45HJiJ6jJTa5JOIqCwTNenImDchx0y2itCa8HhnKRR+bCWi4iOKIu5t3YRL332JpIvnba9AEBDUvhOqDhmBit17Qenmbv8giYioxGPySURUwog6LTK+eAnGa6dk+4WAykw8qdhlxsXi5HtvIXrnNpuPVfuVR/Xho1F99Hh4VqzsgOiIiKg0YfJJRFSCiAY9Mr95FcYLB2X7Bb8geDLxpGIkiiKi/lyBMx/Nhj41xaZjyzduihpjn0PlvgOgdHVzUIRERFTalPjkc+nSpdLjcePG5bq/MCzrIiIqCUSTCZk/vQXDyZ2y/YKXHzze/g2KwCpOioweRynXruD4u9MAk8mq8gq1K6r0H4QaY59F+UZNHBscERGVSiU++XzmmWcgCAIEQZAljFn7CyN7XUREziaKIjRLZsFw8G/5E+5e8Hh7MZSVajknMHpslatdF7WffQFXf/0x33KelaugxuhnUHXoSLj6lS+m6IiIqDQq8cknkPd6nlznk4jKAlEUoV35KfS7VsifULvB481foazW0DmB0WOv/hvTcW/HFqTfvpXjueBOXVBjzLMI6dwVglLphOiIiKi0KfHJ5549e2zaT0RU2ug2fA/dpoXynUoXeEz5Aao6LZwTFBEAlbsHWnz8BfaOflra51u/IVp88iX86vOiCBER2abEJ5+dOnWyaT8RUWmi2/YbtKu/kO8UFHB/5SuoGnV0TlBEFgLbtkf1kWMRtfZP1H9tGmpPnASFi4uzwyIiolLI6clnZGQkqlWr5uwwiIiKnW7vGmiWfpBjv9sLn8ClZU8nRESPC31aGgxpqXAPDrGqfKPpM1HruRfhU4Njj4mIqPAUzg6gRo0aCA0NxZAhQ3Djxg1nh0NE5FBiejIM109Du+kXaBb+L8fzbuNnQd3x6VyOJCo6oyYTV3/5EZs7t8KhV56HaOVMti4+Pkw8iYioyJze8gkAsbGxWLduHSZPnowaNWo4OxwioiIRdRqY4m7BFBsFU0wkTDE3zfexURBTE/I8znXYNKh7cCZusj+TXo+oNStx8ZsvkBkbAwCIT4jH9WWLUGv8RCdHR0REj4sSkXwWdskUIqKSwJT8ELqdv8N49SRMsZEQ46MBG2fjVvd/Ea4DJzkoQnqciaKI3UP6IfHc6RzPnZs3F6Fde8CzEteQJSIixysRyScRUWkkajOh27II2o0/A5q0Qtfj0m00XIe/acfIiP4jCAIq9uiVa/JpzMjAiXemocNvf/BCMBEROZzTx3wSEZU2oskIXcRqpE3tap6p1tbEU6GEIrgqVE2ehPur38Jt/Gx+8SeHqvXMC3D198/1ubj9e3Fr3epijoiIiB5HbPkkIrKSKIownImAduWnMN29VmB5wS8YipCqUARXgyKk2n/3AZUgqLhUBRUflacn6k1+HafnvCfbr/TwQO1nX0BoN86uTEREjlemks/09HTodDr4+fk5OxQiKmOMN89Cs/JTGC8ezr2AIMDliQFQNetqTjKDwyC4eRZvkPTYSb97G4a0NJSrG15g2eqjxuHKLz8iM+YeFGo1aowaj7qTXoVbQGAxREpERFTGks/Dhw+jR48eqFSpEpo2bYr169c7OyQiKuVM9+9A8+fnMBzamGcZZYN2cBs5Hcqq9YsxMnpcZcbF4u7mv3H7n/VIOHUCQR2fRMclqwo8TunqhgZT3sKDY4cR/upUeFasXAzREhER/adMJZ+iKEIURdy5cwd37951djhEVIqJaUnQrv8euh3LAIMu1zKKKnXhNvJtqBp1KObo6HGjjX+Iu1s34c4/6/Hg6CHZbMr3D+yDNv4hXP0rFFhP1SEjUHXICEeGSkRElKcSlXy+8MILaNWqFZo0aYKmTZuiSZMmCAgIsPr4xMRE6TEn7yCiwtLtXQPN8rlARkquzwv+IXAd+gZc2g2EoFAWc3T0uNClJOPets24s2kD7h/YB9FozLWcaDTi7tZNqDF6fDFHSEREZJsSk3yKooibN28iMjISf/zxh7Q/ODhYSkSzbjVr1sy1jm3btkmPfXx8HB4zEZU9uog/oVn4v9yf9PCG64BJUPccD0HtVryB0WND8+A+zs2bi9t//wWTLvdW9+zubFrP5JOIiEq8EpN8AvLWSvFRl6KYmBjExsZiy5Yt0nNeXl5o1KgR6tWrh7CwMLi7u+P8+fNYunQpBEGAKIoICwsr9viJqHTTH98OzS/v5nxC6QJ1j7FQD5wMhTcnNCPHEE0mRP6xHGc//RD6lGSbjn1w5BAy42LhHhTsoOiIiIiKrsQkn4IgQKlUwmAw5NifJSshTU1NxcGDB3Hw4EFZ2aznBUFAz56cNp6IrGe4dASZ374GiCbZflWbvnAbPg2KwCpOioweB8lXLuHEjDcRf+JYoY73rd8QmvtxTD6JiKhEKzHJJwBs3rwZlStXxunTp2W3uLg4Wbm8xnNmtXr6+vpi6tSpxREyEZUBxqgLyPj8BUAv7+KoHjgJbsOmOSkqehwYMjNw6dsvcWXh9xCzXXwtiHfN2qjSfxAq9x0I7+o1HBQhERGR/ZSo5FOhUKBOnTqoU6cOhg8fLu2Pi4vLkZBeu3YNJpMpRx3NmjXDr7/+atNERUT0+DLFRiHj02eBzDTZfpfOw+A6lBexyHFi9+3ByZnTkX77ltXHeIZVRZV+T6Fy34HwqVOPk+sREVGpUqKSz7wEBQWhZ8+esq60Wq0WN27cQFRUFDIzM+Hq6op69eqhRg1e/SUi65gS7yP902chpsTL9qta9IDbc3P4xZ4cQvPgPk7PeQ93/llvVXn34BBU7vcUKvd7Cn4NG/P3koiISq1SkXzmxtXVFeHh4QgPD3d2KERUConpKcj47FmI92/L9ivrtYb7ywsgKEvtn0cqoUSTCTdXLce5T+dAn5r7Mj6WFK5uqP/qVNSe8BIUanUxREhERORY/HZFRI8dUadBxucvwHT7smy/omp9eLzxEwS1q5Mio7Iq+colnHh3GuJPHreqfFCHzmg251N4Vanq2MCIiIiKkcLZAZQle/bswTPPPIOaNWvC09MTfn5+aNiwId58801cu3bNIee8fv063n33XbRr1w4BAQFQq9Xw8PBAlSpV0KdPH3z33XdITrZtyn6iskw0GpD5zWswXpHPKioEVYHHW4sgeHg7KTIqi0STCZe+/wo7+nezKvF0rRCA1l/9iA5LVjHxJCKiMoctn3ag1WoxceJELF++XLY/IyMDSUlJOH/+PL799lt88skneO211+xyTlEUMWvWLHz88cc5lqfR6/W4c+cO7ty5gy1btuD999/HL7/8ggEDBtjl3ESllSiK0Pz6Lgwnd8r2C74B8Hz7NyjKVXBSZFQW6VKScWzaK4jeuc2q8tVHjkPDt96FupyvYwMjIiJyEqcnn9WqVUNkZGSpnUBBFEWMHj0aa9euBQB4eXnhueeeQ8uWLaHVarFt2zasWbMGGo0Gr7/+OlxcXDB58uQin/fdd9/Fxx9/LG23aNECgwYNQpUqVaDVanH9+nX89ttviImJwYMHDzB48GBs374dXbp0KfK5iUor7arPoN+7Rr7Twxse05dwHU+yq+TLF3Fw0nNIuxVZYFmf2nXQ/MP5qNCiVTFERkRE5DyCKIqis4O4f/8+Dh06hObNm6NSpUrODscmy5Ytw7hx4wAAAQEB2Lt3L+rVqycrs3r1agwfPhyiKMLV1RWXL19G1apVC33OO3fuoFq1ajAajQCA77//HpMmTcpRTqvVYvz48fjjjz8AmBPUY8cKt4C5pfr16yM9PR1RUVFFrououGg3LYR2xSfynS6u8Hj7N6jqtnROUCXQ7t27AYAXqorg9t9/4fj/3oAxMzPfcpxQiIobP99EZVfVqlXh6emJCxcuODuUfJWIMZ+BgYEYOHBgqUs8RVHEe++9J21/++23ORJPABg6dCheeuklAOaE8P333y/Sebdv3y4lni1atMg18QTMMwJ///33UKnMDdzHjx9HWlparmWJyirRoIdu96qciadCCfdXvmbiSXZj0utx+oMZOPL6pAITz6AOndFz217UnfQqE08iInpsOL3bbWm2f/9+3LplXhw8LCwMQ4YMybPs1KlT8cMPPwAA1q5dix9//BGuroWbUTMuLk56XLt27XzLli9fHhUqVEBsbCwAIC0tDV5eXoU6L1FJJxoNMN27AWPkORhvnoMp8jyMty8Cel2Osm4TP4JL825OiJLKosz7cTj8f8/j4fEj+ZZTenig+YfzUGXg06V2uAkREVFhMfksgs2bN0uPe/XqBYUi74bkGjVqoHbt2rh69SpSU1Oxb98+dO/evVDnDQoKkh5fuXIl37IJCQl4+PAhAKBChQqyY4lKM9FkhCn6xn9JZuQ5GG9dAnSaAo91HTkd6k55XywissXD40dx6OUJ0Dy4n2857+o18cSPi+FTM/+LhkRERGWVw7vdVq9eHa+//jp27tyZY1bW0u7s2bPS41atCp4owrKM5bG26tu3r9RqeuLECalFNTutVotJkyZJP/c33niDV9qp1DNGnkfGZ88hdWJjpE/vDc1Pb0G3fSmM105ZlXiq+06Ea78XiiFSKutEUcS1JQsRMWpQgYlnxZ590XXdViaeRET0WHN4y2dUVBS++eYbfPPNN/D29kbPnj3Rv39/9O3bF35+fo4+vUNZtjpWq1atwPKWZS5fvpxPyfwFBwdjwYIFmDx5MkRRxOTJk7Fo0SIMHjxYmu322rVr0my3giDgrbfewvTp0wt9TqKSwHD2X2R8+ZJVSWZ2QmAVuPaZAJeuoxwQGT1uDBnpOPHONNz++6/8CyoUaPjmu6jzwsu8+EdERI+9Yut2K4oiUlJSsGbNGqxZswZKpRJt27ZF//79MWDAgALHLpZEiYmJ0uMKFQpeH9CyTFJSUpHO/dJLL6FKlSp44403cOXKFRw/fhzHj+dcwHz06NGYOnUqmjZtavM56tevn+v+GzduIDAwUJo1j6g4+EadRPU9C6EwFdyDQuvlj4wKYUivEIaMClWR7l8FRrdHY50jIhwbaCmXnp4OAPx8F0CzPwLpBSSegpc3vF98FdG1whG9Z08xRUaUN36+icouk8nk7BCs4vDk88UXX8SmTZtw9+5dAOYkVBAEGAwG7N+/H/v378f06dNRs2ZNDBgwAP3790f79u3zHT9ZUqSmpkqP3d3dCyxvWSYlJaXI5+/VqxdcXFwwbdq0PLvxrl69GlqtFvPnz0dYWFiRz0nkDOWvH0a1fYshiDn/sGo9yyOjQphFshkGg5u3E6Kkx4lru07Qnz8D3fHDuT6vqlYDXpOmQFnev5gjIyIiKrmKbZ3P06dP4++//8bGjRtx8uRJZJ1WEATZYwDw8/ND79690b9/f/Tq1Qs+Pj7FEaLN1Go19Ho9AODatWuoWbNmvuUXLlyIF14wjzXr0aMHtm3bVuhz3717F08//TSOHj2KcuXKYcaMGXjqqaekbrdnzpzB999/j5UrVwIwT1K0adMmNG/evNDnzMJ1Pqk46XaugGbJTCDbnyrVEwPgNuZdKMoV3OuArMd1AK1nSE/HrsG9kXJNPvFb9ZHj0GTmh1AWckZzIkfh55uo7OI6n9k0adIEM2fOxLFjx3D37l389NNPsolzAHOrqCiKSEhIwIoVKzBy5EgEBASge/fu+Prrr0tcsuPt/V/rSmYBa7plL1OUhPr+/fto3bo1jh49Cl9fXxw+fBjTpk1DzZo1oVar4e3tjfbt22PFihX45BPz2oZxcXEYMmQIdLqcS04QlVTaf36GZvF7ORJPly4j4D5pPhNPciqVpyee+GERVI+Wr1KoXdHi0wVoPnceE08iIqJcOKVva0hICJ5//nls3LgR8fHx2LBhAyZOnIjg4GCpTFZrqF6vx+7duzFlyhTUqFEDDRs2xDvvvIPDh3Pv6lScfH19pcdZy5nkx7KM5bG2mjt3LqKjowEA06ZNQ926dfMs++abb0rjaaOiorB+/fpCn5eouIiiCM2aL6Fd+WmO59S9J8DtuQ8hKJROiIzKuuTLF3H87SlIOHvaqvLe1Wui1bxv4Fm5Crqs+QfVho50bIBERESlmNMHVrq7u6N///74+eefER0djSNHjmDGjBlo3LixlIBa3l+8eBGffvop2rVrh+DgYDz33HNYv349MjIyij12y6QvMjKywPKWZfJLGAuyYcMG6XGPHj3yLatQKNCtWzdp+8iR/BdAJ3I2URShXT4XunXf5nhOPfhVuI7+H2cNJbsSTSZE79qOvWOGYHufJxH55wpcW/yz1cdX7NkHPbf/C78GjRwYJRERUenn9OQzu5YtW+KDDz7AqVOncOvWLXz77bfo2bMn1Go1gP+65oqiiPv37+O3337D008/jQoVKqBv37748ccfce/evWKJtVGj/75oHD16tMDylmUsj7VVVqsnYF0Larly5aTHaWlphT4vkaOJJiM0v7wD3dbFOZ5zHfU/uD39GhNPsquYPTuxrWdHHHh+LO4f/Ffaf2fTBmTGxVpdj9LVzRHhERERlSklLvm0VLlyZUyePBlbtmzBw4cPsWbNGowfPx4BAQFSmaxWUY1Gg61bt+Lll19GlSpV0Lx5c8yePRsnTpxwWHx9+vSRHm/dujXfKY5v3LiBq1evAjCPFe3QoUOhz2s51vT27dsFlr9165b02JolYYicQTTokfn9G9BH/Cl/QhDgNuFDuPad6JzAqEy7s2kDUm9cy7FfNBhwY3nOiyBERERUeCU6+bTk6emJwYMHY/HixYiNjcWBAwcwffp0hIeH59o99/Tp05gzZw5atWqFSpUqYdKkSXaPqV27dqhSpQoAc4K3Zs2aPMt+/vnn0uPBgwfDza3wV8ktW01///33fMsmJCRg06ZN0nbr1q0LfV4iRxF1WmR+9TIMh/6RP6FQwn3S51B34Tg6coxG09+TJgzK7saKpTBqCp5MjoiIiKxTapJPS4IgoG3btvj4449x/vx53LhxAwsWLECXLl2gUpmXLrVMRKOjo/Hzz9aP37GWQqHABx98IG2/8soruHz5co5ya9aswY8//ggAcHV1xcyZM/Oss3PnzhAEAYIgYPbs2bmWGTNmjPR4yZIleb62lJQUDB8+HMnJyQCASpUqoXv37gW+LqLiJGrSkTF/Igwnd8mfUKnh/tq3cGk30DmB0WPBLSAQ9V99M9fndIkJuPPPhlyfIyIiItupnB2APVSrVg2vvvoqXn31VaSkpGDr1q3YuHEjtmzZgoSEBIeee9y4cVi/fj3Wr1+P+/fvo1WrVnjuuefQsmVLaLVabNu2DatXr5aS4Xnz5qF69epFOuczzzyDZcuWYe/evRBFES+++CKWLVuWY53PZcuWIS4uDgCgVCrxww8/wN3dvcivmchejFEXkfnrOzDdPCd/Qu0Gjzd+gqphe+cERo+VmuMn4OafvyP1+lVpX/mmzVH72RdQsWdfJ0ZGRERUtpSJ5NOSj48Phg0bhmHDhsFoNOLAgQP4+++/8c8//xR8cCEIgoCVK1fiueeew8qVK5GamoqvvvoqRzlXV1d89NFHeOWVV4p8TqVSiY0bN+L555/HH3/8AQDYv38/9u/fn2v5ChUq4JdffkG/fv2KfG4iezAlP4R29Rfm8Z3Z1vCEuxc83vwVqjotnBMcPXYULi5oOvND7Bs/HJX69Eft516Ef1P+/hEREdlbmUs+LSmVSnTs2BEdO3bE/PnzHXYeNzc3rFixAhMnTsSSJUtw4MABxMTEQK1Wo1KlSujZsydefPFFab1Ne/D29saqVaswdepULF++HAcPHsTNmzeRkpICFxcX+Pv7o3HjxujduzfGjBkjm/GWyFlEgw66bb9Bu+5bIDPnzMuClx883l4MZbWGToiOygrRZELU2j/w4MhBtJz3tVUzJAe174ReOw/Cu1rReqYQERFR3sp08lncunTpgi5duhSpjoiICJvKt2zZEi1btizSOYkcTRRFGE7thnb5XJjibuVaRgisAo+pP0FZyX4Xaejxk3TpAk68Ow0Jp08CACr16ovQbr2sOpaJJxERkWMx+SQihzLevQrNsrkwns+9WzhcPeA64CWo+0yAoOZaiVR4cf/uxYEXx8tmqD095z0EdejMdTiJiIhKACafROQQptREaNd+Bf2uFYDJmGsZl/ZPwXX4m1CUDy7m6Kisid65FYf+73mYdDrZ/vQ7t3Hl5+8R/sobToqMiIiIshRL8hkZGYkffvgBERERuHHjBlJSUmAymfI9RhAEGAyG4giPiOxINOih37UCmrVfAenJuZZR1mwK17EzoKrZpHiDozLpzj/rceSNlyHm8T/j8g9fI2zwUHhWrFzMkREREZElhyefv/32GyZNmgStVgvgv/U3iajsMUbfROZXk2G6ey3X5wW/YLiNfAuqtv0hKErlMsNUwkStWYVjb08B8rmgKZqMiD95nMknERGRkzk0+Tx69CgmTJgAURQhiiKCgoLQvHlz+Pv7Q8EvnkRliik1ERmfPQvxwd2cT7q4Qt3vebj2exGCm0fxB0dl0vVli3Fq1tv5lgnu1AVNZ30Er6rViikqIiIiyotDk8/58+fDZDLBxcUF3333HZ577jkmnURlkGgyIvO7Kbkmnqo2feE2YjoUARWdEBmVVVcWfo+zH7+fb5kao59B0/c/Zis7ERFRCeHQ5PPAgQMQBAFvvPEGJk6c6MhTEZETadcsgPHcv7J9ikq14PbsHKjqcikgsh9RFHHx689x8at5+Zar/fxkNHp7plVrfBIREVHxcGjyGR8fDwDo16+fI09DRE6kP74Dug3fy/YJvgHweHspFH6BToqKyiJRFHHu0zm48vN3+ZYLf3Uawl+bxsSTiIiohHFoXyR/f38AgLu7uyNPQ0ROYoyJROaP0+Q7lSq4v/otE0+yK9FkwqnZ7xSYeDac/h7qv/4mE08iIqISyKHJZ4sWLQAAV69edeRpiMgJRE06Mr+cBGSmyfa7jX4HqjotnBQVlUWi0Yjj06fgxrJF+ZZrOvtj1H3x/4opKiIiIrKVQ5PPl156CaIoYtGi/L8wEFHpIooiMn9+G6Z78iVVXNoNhEuPcU6Kisoik16PI1MmIWrtqrwLCQJafPIlao57rvgCIyIiIps5NPns3bs3nn/+eezcuRPvvvuuI09FRMVIt/lXGI5slu1TVKkHtwlz2d2R7Mao1eLQ/03EnX825FlGUCrResEPqDZsVDFGRkRERIXh0AmH9u3bh1GjRuHy5cv45JNPsHnzZowdOxb16tWDp6dngcd37NjRkeERUSEYLhyCdtVn8p0ePvB4/TsIrhzfTfZh0ulw6OUJiNm9I88yCrUabb75GRW79y7GyIiIiKiwHJp8du7cWdYKcvbsWbz55ptWHSsIAgwGg6NCI6JCMMVHI/PbVwGT8b+dggD3l7+AIijMeYFRmWIyGHD49Un5J56ubmj30xIEd3yyGCMjIiKionBo8gmYx4YRUekn6rXI+Or/IKYkyPa7Dn4NLk2YAJB9iEYjjr35Ku5t/SfPMipPT7T/ZTkCWj9RjJERERFRUTk0+Vy8eLEjqyeiYqRZ+gFMN87I9qmadoH6qZedFBGVNaLJhBMz3sTtDWvzLOPiUw4dlqyEf5PmxRgZERER2YNDk8/x48c7snoiKia6iNXQ75bPNioEVYH7pM8hKBw6bxk9JkRRxOkP3kXkH7/nWcalnC86LV8Dv/oNizEyIiIispf/b+++o6K4/jaAP7OUpRcVxIq9i1jQ2LHFlliiMYkVe4m9JBo1ahKNNWqiwd5jxWjUGEnsNfaGRlQEO6AigpQFduf9w5f9scLSdmcHludzDiezd+7MPLthkC8zcy9/aySiTKkf3EDihm91G5W2sBvrD8HeSZ5QZFZEUcTNed/j/ib903JZOjii2YbtLDyJiIjyMRafRKSXJjYK8Uu+BJKTdNptB82BRekqMqUic3N7yQIEr1qud72FnR2artuKQrVqmzAVERERGRuLTyLKkJiSjIRfxkB89Uyn3bqdH6wadZIpFZmbO/4/4/Yvi/SuVyht0GT1ZhSpV9+EqYiIiEgKko92+76HDx/i5cuXiI+Pz3IkXM7zSSQPUaNB4qrJUN86q9NuUdkHyi8my5SKzM299atwc8FsvesV1tZovGI93Bs2MWEqIiIikopJis+wsDDMmTMHv//+O16/fp2tbTjPJ5F8VNvmIvnMXp02wbUobEf/AsHSSp5QZFYebNuEa99P17tesLTEB7+sgkfzliZMRURERFKSvPg8fvw4unbtipiYGM75SZQPqP5cjaSDa3UblbawHfsrFC5u8oQisxL2+05cnvaV/g4KBRos/hUl2rQ3XSgiIiKSnKTFZ1RUFLp37443b97A3t4egwcPhouLC2bOnAlBELBmzRpERUXhwoUL+OOPP5CcnIxmzZrBz89PylhEpEfSqd+h2jpXt9HCErajl8Gygrcsmci8PD6wFxe/GgPo+2OkIMBn/lKU6tjZtMGIiIhIcpIWn/7+/oiKioK1tTXOnDkDLy8v3Lp1CzNnzgQA9O/fX9v30aNH+PTTT3Hy5Em0atUK06ZNkzIaEb0n+eoxJK5K/zynzeC5sPL2NX0gMitqVSLurvFH0OL5gEajt1/dH+ajzCc9TJiMiIiITEXS0W4DAwMhCAJ69uwJLy+vTPuWLl0agYGBKFasGGbNmoULFy5IGY2I0ki5dxUJP48ENGqddmXPKbBu2lWmVGROoq5fRdCiuZkWnt7f/oByX/Q1YSoiIiIyJUmLzzt37gAAOnTokOF6zXu/hLi4uGDMmDFQq9VYuXKllNGI6P+pn95HwsJBQFKiTrt1x0FQdhwkUyoyN0V8PkDhuvqnS6n51TRU9BtswkRERERkapIWn9HR0QDeXdVMpVQqtcvx8fHptmnUqBEA4MSJE1JGIyIAmlfPED+3H8S30TrtVk26QPn51/KEIrMkCAKqjhiT4bpqoyeiyrBRJk5EREREpiZp8ZlaaFpYWGjbnJyctMvPnj1Lt42V1btpHMLDw6WMRlTgiW+jET9vAMQo3XPNslZz2AyeC0Eh6Y8HKoA8fFvBpVoNnbbKQ0ai2piJMiUiIiIiU5L0t8sSJUoAAF68eKFtc3d3h4ODAwDg0qVL6bZJvVWXiKQjqhIQv3AwNE/v6bRblPeG7ehlnMuTsu3N3TsI270jW30FQUCV/7/6KVhZoeZX01Dz62kQBEHKiERERJRHSFp81qxZEwBw8+ZNnfYPPvgAoijC399fZ+7PxMRELF68GABQqVIlKaMRFVhiSjISfh4F9b0rOu2K4uVhO2kNBBs7mZJRfqJWJeLy1En4u11zXJ46CQmREdnarmTbjqg+9it0OH4BVYaNYuFJRERUgEhafDZv3hyiKOKff/7Rae/Tpw8A4OzZs2jatCmWLVuGefPmoUGDBrh+/ToEQUC3bt2kjEZUIImiiMS1U5Fy7ZhOu+DqAbuvN0Dh6CpTMspPNCkp+HfUEDzYtund6yQV7q5dka1tBQsLVBs9AXbFiksZkYiIiPIgSYvPrl3fTdFw7NgxPHr0SNveu3dvNGvWDKIo4ty5cxgzZgy++eYbBAUFAQAqV66McePGSRmNqEBS7ViA5JO7dRvtnGA3eT0URVgMUNZEUcTlbybg2eFAnfaQ3zYgKfq1TKmIiIgoP5D8mc9Xr14hPDwcxYoV07YLgoD9+/djwIABsLa2hiiKEEURgiCga9euOH78OOzseOsfkbGISYlIWDsVSfvfm8LISgm7iathUZK3uVP23Jz3PcICtqdrV8fH497GtTIkIiIiovzCUuoDuLpmfBufo6Mj1qxZgyVLluDu3btISUlBxYoV9fYnotxRh4ciYekoaB79p7tCYQHb0b/AsnI9eYJRviNqNEh89VLv+nsbVqPSwGGw+v9B5YiIiIjSkrz4zIqDgwPq1Kkjdwwis5R8/iASVk0BEt+mW2czaA6s6rSSIRXlV4JCAZ95S6B0cU33jKdCaQPvqbNgaWsrUzoiIiLK62QvPonI+MRkFRK3/ojkvzenX6m0he3A2bBq3Nn0wSjfExQKeH0zE8pChXFzwWwA7wrP5pt2oohPA5nTERERUV7G4pPIzGgiHyP+l1HQPLiZbp2iREXYjv4FFiUrypCMzIUgCKgyfDSsXV1xdeY3aLR8DQtPIiIiypJRis9NmzZpl/v27Zthe26k3RcRZS350j9IWDkJiI9Nt86qaVfY+H3HeTzJaMp93gcezVtx2hQiIiLKFqMUn35+fhAEAYIg6BSMqe258f6+iEg/MSUZqu0LkPRXBqONWilh4zcLVs275/p8JNKHhScRERFll9FuuxVFMUftRGQcmpfPkPDLaKjvX023TlGsLGxHL4NF6SoyJCMiIiIi+h+jFJ/Hjh3LUTsRGUfytWNI9J8I8W10unWWDT+C7cDZEGw57QVlnybuLdTPngItW8odhYiIiMyMUYrP5s2b56idiAwjJsZDtWsRkg5tSL/S0ho2fabDqtUXvM2WciQlIR6xPy9AysMHeOJZGiXbdZQ7EhEREZkRhdwBiChnUoLO4O3kDhkWnoJ7adjP3AXr1j1ZeFKOaJKTcW7EIKSE3AVSUnBu5CA82LFF7lhERERkRjjVClE+IcbFvJu78/jODNdb+rSD7ZC5EOwcTZyM8jtNcjLOjx+B8BNH0jRqcHnKBCS9fo3KQ0fyjxlERERkMBafRPlA8uXDSFz/LcTXEelXWimh/PwrWLftxwKBckyTlIR/Rw/F078PZrj+5vwfIFhYoPLgESZORkRERObGKMVnuXLljLEbHYIgICQkxOj7JcpPNDGvkLjpO6ScO5DheovK9WAzeC4sipU1cTIyB2pVIs59OQjPj/6jt4+tRzGU6tDJhKmIiIjIXBml+AwLC8t2X0EQ0k2/oq+NqKASRREpZ/cjcdN3EN++Tt/Bxh42n02CVeteEBR8dJtyTp2YgDND/RBx6rjePtYurmi2cQfsSpQ0WS4iIiIyX0YpPps1a5Zpsfjs2TPcv38foihCFEWUKVMGHh4eAIDw8HBt8SoIAipWrIhixYoZIxZRvqR59RyJ679FytWjGa638GoK2wGzoXArYeJkZC5S4uNwenAfvDh3Rm8fS3t7NFm7BU4VK5swGREREZkzoxSfx48f17vuyJEj6NGjB+zs7DBlyhQMGjQI7u7uOn0iIyOxevVqzJ07F69evYK/vz9atGhhjGhE+YYoikg+th2JW+cCCW/Td7B3hk3vqbBq+gnvDKBcS377FqcH9sLLi//q7SPY2qLZxh0oXLueCZMRERGRuZN0wKGHDx+ie/fuSE5OxokTJ1C3bt0M+7m7u2Pq1Klo27YtfH190b17d1y7dg2lSpWSMh5RniGqEhC/ZATUN05muN7Spy1s/GZB4eJm4mRkTpJi3uBU/y8QdfWy3j6CnT2cxk9B4To+JkxGREREBYGkD4stXrwYb968wdixY/UWnmnVq1cPY8aMwevXr/HTTz9JGY0ozxBFEYlrp2VYeArORWA7Zjnsxv7KwpMMkhT9Gid7f5pp4WldqDCcJk6DZZnyJkxGREREBYWkxedff/0FQRDQtm3bbG/Trl077bZEBUHyP1uQfGZvunarpl3hMD8QVvXbmT4UmRXVq5c43qsbXgdd19tHWcQNvlt/h2XpMqYLRkRERAWKpLfdPn36FABgZ2eX7W1S+z558kSSTER5Scrdy0jc8oNuo40DbEcthZW3ryyZyLwkvojEiT7dEXM3WG8fm6Ie8P1tNxzLVQCePDNhOiIiIipIJL3yaW1tDQC4efNmtrdJ7Zu6LZG50kS/QMLPowB1ik677bD5LDzJKBLCn+P4F10zLTxti5VAi2173xWeRERERBKStPisUaMGRFHEokWLkJSUlGV/lUqFRYsWQRAEVK9eXcpoRLISU5KR8MtoiK8jdNqtPx4GK5/s36ZOpE/80yc49kUXxD64r7ePfanSaLFjLxzKlDVhMiIiIiqoJC0+e/XqBQC4ffs22rdvj8ePH+vt++jRI7Rv3x63bt0CAPTt21fKaESyUm1fAPWdCzptFjUaQ9ljvEyJyJxE3biGoz06Ie5hmN4+DmXKwXfbXtiXLG26YERERFSgSfrM5+DBg7Fp0yacO3cOx48fR4UKFdCqVSs0aNAARYsWBQBERETg/PnzOHLkCFJS3t1+2LBhQwwaNEjKaESyST53AEl/rdVpEwoXg+2XiyEoLGRKReYidMdvuDJjCjRJKr19HCtUQvMtAbB1L2rCZERERFTQSVp8KhQKHDx4EF26dMGJEyeQnJyMwMBABAYGpusriiIAwNfXF3v27IEgCFJGI5KF+sldJKyeottoaQ27Mb9C4VRYnlBkFtQqFa7O+gah27dk2s+5clU027wLNkU4dQ8RERGZlqS33QKAs7Mzjh07hrVr18Lb2xuiKGb45e3tjXXr1uHo0aNwdnaWOhaRyYnxsUhYMgJQxeu02/SbAYvyXjKlInMQ/+wpjn3WKcvC06V6TTTf+jsLTyIiIpKFpFc+0+rfvz/69++PFy9e4Pr163j16hUAoHDhwqhVqxbc3PjLEJkvURSRsHISNM9DddqtfHvAuuXnMqUicxB59hTOjR6KpKhXmfYrVKs2mm7YDmtnF9MEIyIiInqPyYrPVG5ubmjdurWpD0skq6QDq5By6R+dNkXZGrDpN1OeQJTviaKI4FXLcXPBbECjybRv6S7dUXf2AljaZn/OZSIiIiJjM3nxSVTQpASdgWrHQp02wcEFdmN+hWCtlCkV5WfJb9/i4ldj8PTQgUz7CZaW8J72Hcr3GcDn6ImIiEh2Ji0+k5KScOnSJTx//hzx8fHo3LkznJycjLLvli1bQhAErFu3Dp6entna5vHjx+jXrx8EQcCRI0eMkoMoLc3LZ0hYNhYQ01yZEgTYfrkECrcSsuWi/Csm5B7ODuuP2JB7mfazcS+KhsvWoEi9+iZKRkRERJQ5kxSfL168wLRp07B582aoVP8b/v/mzZuoVq2a9vW6deuwYcMGuLi4YN++fTk6xvHjxyEIAuLi4rK9TXx8vHY7ImMTk1SIX/olxNgonXZl93Gw9GoqUyrKz54c+hMXvxqNlLdvM+1XpF4DNFy+BjZu7iZKRkRERJQ1yYvP4OBgtGnTBk+fPtVOpwIgw4Lvww8/xNChQ6HRaHDixAk0b95c6nhEkknc/B00D27otFnWaQ3rTsNlSkT5lajR4OaC2QheuSzLvhX9BsNrygworKxMkIyIiIgo+ySdaiUpKQmdOnXCkydPoFQqMX78eOzfv19v/5IlS2oLzr/++kvKaNp8AGBtbS35sahgSTq5G8lHt+u0KYp6wnbYAggKyWc4IjNz7YfpWRaeFja2aLD4V3h/+wMLTyIiIsqTJL3yuXbtWty7dw/W1tY4fPgwGjVqlOU2H374IY4ePYp///1XymgAgKCgIADvpnshMhbN60gkbv5et1FpC9ux/hDsjfOMMxUcT/46gPsb1mTax96zDBr9ug4uVaubKBURERFRzklafO7ZsweCIGDo0KHZKjwBoFatWgCA+/fvZ9rv5MmTGbZfvHgRL1++zHRblUqF4OBgzJs3D4IgaI9JZAyJm78H4mN12mwHzYFF6coyJaL8KvFFJC5NGZ9pn2It26D+T8th7eRsolREREREuSNp8Xnjxrvn3Tp27JjtbYoUKQIAiIqKyrSfr69vuudGRVHEgAEDsn0sURQhCAL69++f7W0yc+zYMWzcuBGnT5/G8+fPYW1tjZIlS6Jdu3YYMmQIKlasaJTjZOTq1avYvn07Dh8+jCdPniA6Ohqurq4oWrQo6tatC19fX3Tt2hWOjo6SZSAg+eoxpJw/qNNm1aQLrBp1kikR5WfKIm6oPnYSbsz9Dpr/f0xASxBQfcwkVB05jrdyExERUb4gafH5+vVrAIC7uzQjLqYdwCizNn0cHBzw1VdfoXv37gblUKlUGDRoELZs2aLTHh8fj+joaAQFBWHZsmWYO3cuxowZY9Cx3hcVFYWxY8diy5Yt6d57REQEIiIicOPGDaxfvx6lS5eGr6+vUY9P/yMmxiFx/bc6bYKDK5S9p8qUiPI7QRBQ0W8witRrgH9HD8XbsAfvVigUaLxiPYq3bidvQCIiIqIckLT4dHJyQlRUFJ4/fw5vb+9sbfPo0SMAQKFChTLtt379ep3X/fv3hyAI+P7771GihP75EwVBgK2tLYoXL446derA1tY2W7n0EUURvXr1wu7duwG8K2gHDBgAHx8fqFQqBAYGIiAgAImJiRg7diysrKwwYsQIg46ZKjw8HG3atNE+u1q6dGl07twZtWrVgrOzM+Li4vDgwQOcOHECZ86cMcoxST9VwFKIr57ptCl7TYHCMfPvZaKsuNbwQut9/+DqjMl4uGcXqo2awMKTiIiI8h1Ji89y5cohKioK//33H9q3b5+tbQ4dOgQAqFGjRqb9+vXrp/M69dbZLl266MwdKrUtW7ZoC083NzecOHECVatW1a4fOHAgdu3ahc8++wyiKGL8+PHo0KEDypQpY9Bx1Wo1unbtiqCgIAiCgFmzZuHrr7/WO3JvdHQ0FLw1TzLq0JtIOqT7BxGL6g1h1fQTmRKRubFycED9RctQqmNneDRvKXccIiIiohyTtBpp3bo1RFGEv78/NBpNlv2Dg4OxefNmCIKAtm3b5uhYx44dw9GjR1G2bNncxs0xURQxffp07etly5bpFJ6pPv30UwwbNgzAu1t0Z82aZfCxFy5cqB0ReObMmZg+fXqmU8a4uLjAyYkjrUpBVKcgYc1UQEzzPW5lDZsB32c4ny2RIYq1bAPBwkLuGEREREQ5JmnxOWLECCiVSjx48AATJ07M9HnMy5cvo3379khMTISjoyMGDhyYo2M1b94czZs3N/g22pw4ffo0Hj58CADw9PTM9NnRCRMmaJd3794NlUqV6+OqVCosWrQIAFCqVClMncpnCuWU9PcmaMJu6bQpO38JCw/T/SGEiIiIiCivk7T4LFGiBObOnQtRFLF06VLUrl0bs2fP1q7fvn07Zs2ahVatWqFBgwYICwuDIAhYunRpvrhKd/Dg/0Y1bdeuXaa3tZYvXx6VKlUCAMTGxuqdKiY79u7dixcvXgAAevfuDQteBZGN5uUzqHYt1mlTlKgI64+HyJSIiIiIiChvkvSZTwAYM2YMYmJiMGvWLNy4cQM3b97U3oqYthBNnfZkzpw56Z7nzKtSp5IBgPr162fZv379+rh796522zZt2uTquMePH9cuf/DBBxBFEdu3b8fGjRtx7do1vH79Gq6urqhRowY+/vhjDB48GHZ2drk6FukniiISN8wAVPE67TYDf4Bgqf8WaKL3iWo1b6UlIiIisyd58QkA06dPR6tWrTB79mz8888/SElJ0VmvUCjQokULzJw5E02aNMnVMcqVK5frfIIgICQkJMfbBQcHa5ez86xp2j537tzJ8fFSXbhwQbvs7OyM1q1b4+jRozp9UqdZOXLkCObPn4+AgAA0bNgw18ek9FIuHELKVd3P3arl57CsXE+mRJQfiaKIf0cPhY27O7wmfwsLpY3ckYiIiIgkYZLiEwAaNWqEP//8E3Fxcbhy5QoiIyORkpICNzc31K5dG66urgbtPywsLFv9Uq+6pn3+NLeDwqTOYwoARYoUybJ/2j7R0dG5OiYAPH/+XLs8dOhQBAcHw9bWFv369UPDhg1hZWWFoKAgrF27FhEREXj27BlatWqFc+fOoVatWrk+Lv2PGB+LxE3f6bQJzkVg8/lXMiWi/OrBts148td+AMDLi+fxwc8r4ViugsypiIiIiIzPZMVnKnt7ezRt2tTo+23WrFmWRWRcXBzu3r2LmJgYCIKASpUqwcPDI9fHjI2N1S5nZ6CjtH1iYmJyfdy0RW9wcDBKliyJI0eOaJ8pTTVp0iR06NAB586dQ0JCAvz8/HD16tVsH6d69eoZtoeEhMDd3T3d1daCpPSZ3+AeHanTdr/OJ3h9/rJMiSg/SnnyCG9mT9O+jr4dhEMdW8Kh1wAoGzWTJVNcXBwAFOjzm8hc8fwmMl/ZmVkkLzB58SmVtM9BZkaj0WDPnj0YPXo0oqOjsWXLFtStW1facEb2/jfX6tWr0xWewLvpVXbt2oUKFSogMTER165dw9GjR9GyJecINIR9RAjc7pzQaXtTsgZel+XttpR9oioRb1f+DCQn665QqfB2nT/UkeGw69JDnnBEREREEjCb4jO7FAoFunXrBm9vb/j4+KBz5864fv06ChcunON9OTo6IioqCgCQkJCQZf+0fQwZzdfR0RGvXr0CAJQpUwbt2rXT27dEiRLo1KkTdu7cCQD4+++/s1183rp1K8P26tWrIy4urkAWsWJKMuKmLoAGaaYNUtqixMTlKOVWUr5glO9cmjIeUc+fZrhOYa1Ek+Gj4FI147sPpJR6RaQgnt9E5o7nN5H5ymzWjbwkf6SUQPny5TFy5Eg8e/YMS5YsydU+XFxctMsvX77Msn/aPmm3zam0z8fWq5f11TYfHx/t8v3793N9XAKS/lwDzZO7Om3KbmOgYOFJOVT6466wcXPPcJ33tO9kKTyJiIiIpGSS4vP+/fuYNGkSfHx8ULhwYVhZWcHCwiLTL0tL6S/KtmrVCgCwZ8+eXG1fpUoV7XJoaGiW/dP2SbutIcd1dnbOsn/aQteQZ00LOk3EQ6j2/KLTpvCsBut2/WVKRPmZe6OmaPPnUXg0b6XTXqJtR5TrlT+mmyIiIiLKCcmLT39/f9SsWRM//fQTrly5gtevX0OtVkMUxSy/pJZauD18+DBX23t5eWmX005/ok/aPmm3zSlvb2/t8ps3b7Lsn3ZkXUOuuBZkoigiYd10IFn1v0ZBAduBsyFYFLi718lIbIq4ocnaLfD6ZiYES0vYFS+JenN/yvUI3ERERER5maS/NR8+fBhffvml9nWJEiW006rkhfuS7927ByD3U6106NABc+fOBQAcOnQIGo1G7/sKCQnB3bvvbtd0dHQ0aMTfjz/+GD/88AMA4PLlrEdXvXTpkna5cuXKuT5uQZZ85g+og87otFl/2AcW5XP/RwQiABAUClQeNBxuPg0giiKsnV3kjkREREQkCUmLz4ULFwJ4N73K+vXr0b17dykPlyOJiYmYN28eAGQ4Umx2NG7cGKVLl8ajR4/w8OFDBAQEoEePjEenXLRokXb5k08+gY1N7ieSr1+/PipXrozg4GCEhobi0KFDegcdevr0Kf744w/t644dO+b6uAWRKIpIPrkbiZu+12kXCnlA+el4mVKROSpUq47cEYiIiIgkJenlx4sXL0IQBEybNk3ywvPRo0dZfoWFheHKlStYuXIl6tatiytXrkAQBL0FY1YUCgW+++477etRo0bhzp076foFBARgxYoVAAClUolvv/1W7z59fX0hCAIEQcDMmTP19kstnAFg8ODB2qu4ab158wY9evRAYmKidt8ffPBBlu+L3tFEv0DCT8OQuOprIPGtzjqbfjMh2DrIlIzyA1EUoXl/GhUiIiKiAkzSK58q1bvn41IH9pFSmTJlcnX7bO3atTF69OhcH7dv377Yu3cv9u7di8jISNSvXx8DBgyAj48PVCoVAgMDsWvXLu0zrAsWLEC5cuVyfbxUnTt3xqBBg7BmzRo8efIE3t7e6NevHxo2bAgrKyvcvHkT69atQ3h4OADAzc0NGzZsMPi4BUXy+YNIXPctxLev062zbNABVvXayJCK8gt1YgIuT/sKolqN+j8t5zOcRERERJC4+CxVqhTu3r0LtVot5WG0cjJIkbW1Nfr06YOFCxcadAusIAjYtm0bBgwYgG3btiE2NhZLly5N10+pVGLOnDkYNWpUro/1vpUrV8LBwQE///wz4uPj4e/vD39//3T9qlevjt9//x2enp5GO7a5Et9GI2HDDKScO5DhequmXWHT//sM1xEBQNzTxzg7fACig24AAFxr1kKlAUNlTkVEREQkP0mLzw8//BB3797FxYsX0aBBAykPhRkzZmTZx8LCAo6OjihXrhyaNGmiM1+mIWxsbLB161YMGjQIGzZswJkzZ/D8+XNYW1ujZMmSaNu2LYYOHZrrZ0v1USgUWLx4Mfr27Yv169fj8OHDePr0KVQqFYoUKYJ69erh008/xeeffw4LCwujHtscJV87hsTV30CMjky3TnAqDJuBP8Cq3ocyJKP8IuLMSfw7eiiSXkdp2278OAsu1WrA/YPGMiYjIiIikp8gSjinyYMHD1CrVi24ubnh2rVrcHJykupQZELVq1dHXFwcwsLC5I5iFGJ8LBJ/m4Pk4zszXG/p0w42A76DwqmwiZNRfiGKIu6u8ceNed8DGk269crChdH6j39gV7yEDOly5ujRowCAli1bypyEiIyN5zeR+SpTpgzs7e1x69YtuaNkStIBh8qVK4dNmzbh6dOnaNmyJW7evCnl4YhyLOXWObyd0jHjwtPOCbYjFsN2zDIWnqSXWqXC+bHDcePHWRkWngCgevUK58cON8n8xURERER5laS33QJA165dcfbsWXTs2BHe3t6oUaMGqlSpAnt7+0y3EwQBa9euNfj4oaGhePXqFQCgcOHCKFu2rMH7pPxPVCVAtXMhkg5tyHC9Za3msBn8IxSuRU0bjPIVURRxafI4PN6/J9N+tsWKo9bUmRx4iIiIiAo0yYvPhw8fYsqUKXjx4gVEUURQUBCCgoKytW1ui8+zZ8/ip59+wpEjRxATE6OzzsnJCR9++CHGjh2Lhg0b5mr/lL+l3LmIxDVToHkemn6ljT1sek+FlW8PFgqUpTu/LsGjP3Zn2setQSN88Msq2BRxM1EqIiIiorxJ0uIzIiICzZs3x+PHj7W3m0l525koihg/fjx+/vlnvcd68+YNAgICEBAQgDFjxuCnn36SLA/lLWJ8LBK3z0fyka0Zrreo2gC2Q+ZB4V7KxMkoP3pycD+CFs3NtE9Fv8HwmjIDCisrE6UiIiIiyrskLT7nz5+PR48eQRAEdOzYEWPHjkXt2rXh6uoqyVWlCRMm6ExzUrZsWTRs2BDFihUDAISHh+Ps2bMIDX13xWvp0qUQBAGLFi0yehbKW5KvHHk3b+fr8PQrrZRQfj4J1h/2g6CQ9DFoMhNRN67hwkT90yYplDao9+MieHbpbsJURERERHmbpMXngQMHIAgCunbtioCAACkPhStXrmiLydKlS8Pf3x/t2rXLsG9gYCCGDx+OsLAwLF26FL1790bt2rUlzUfy0Lx5icSNs5By/mCG6xXla8F22AJYFC9v4mSUXyWEP8eZof2gTkzIcL1CaQPf3wJQuI6PiZMRERER5W2SXuZ5/PgxAGDoUOknWF+5ciVEUUSRIkVw5swZvYUnALRt2xanT5+Gu7s7RFHEihUrJM9HpiWKIpJOBODtpA8zLjyVtlD2ngb7mbtYeFK2pcTH4fSQvkiMyOAK+v+rv+gXFp5EREREGZC0+HRxcQEAuLlJP9DGiRMnIAgCJk2ahOLFi2fZv3jx4pg4cSJEUcSJEyckz0emo4l8hPi5/ZC46msg7k269RY1m8Jh3iEo2/eHoLCQISHlR6JGgwsTRyM66IbePtXHfY1SHTqZMBURERFR/iFp8enl5QUA2mcspfTs2TMAQJMmTbK9TWrf1G0pfxPVKVAdXIu3kztAHXQm3XrBwQU2wxbA7uv1ULiVlCEh5We3Fs/D00MH9K4v3ekTVB05zoSJiIiIiPIXSYvPQYMGQRRFbNiwQcrDAADUajUAwMIi+1eyUvumbkv5l/rRHcTN7A7Vb3MAVfpn8SwbfgT7+YGwbvoJp1ChHHu4NwD/LV+id32h2nVRb95ifm8RERERZULS4rN79+744osvcODAAXz//fdSHgpFixYFAFy+fDnb21y6dAkA4OHhIUkmMo2kk7sRN60zNA9uplsnFPKA7YTVsBu5FArnIjKko/zu5eWLuDRZ/xVNu+Il0XjFBlgobUyYioiIiCj/kXS025MnT2LQoEF4+PAhZs6ciT/++AM9e/ZE1apVYW9vn+X2zZo1y/axmjRpgrCwMCxYsAC9e/eGg4NDpv3fvn2LhQsXQhAENG7cONvHobxFE/kIiWumAuqUdOus2vSBTY8JEOwcZUhG5iDuySOcHdYPmqSkDNdb2Nmh8epNsHFzN3EyIiIiovxH0uLT19dX5za0q1ev4urVq9naVhAEpKSkLyj08fPzw5YtWxAWFoZWrVphy5YtqFixYoZ97969iz59+iA0NBSCIMDPzy/bx6G8JXHXYkCdrNOmKF4eNoPmwLJyPZlSkTlIjo3F6UF9oHr1KuMOgoAPlq6AS9Xqpg1GRERElE9JWnwC76a8MIWWLVuiW7du2L17Ny5duoRq1arB19cXjRo10t5WGx4ejrNnz+L48ePQaDQA3t0a3LJlS5NkJONSh91Cytl9Om1WjbvAZtAcCNZKmVKRORDVapwfOwwxd+/o7eM1+VsUb9XWhKmIiIiI8jdJi8/169dLuft0Nm/ejISEBBw8eBBqtRpHjx7F0aNH0/VLLYg7duyITZs2mTQjGU/i9gW6DbYOUPaZxsKTDHb9x1l4fuyw3vVlPv0ClQYNN2EiIiIiovxP0uKzX79+Uu4+HRsbGxw4cACbNm3C4sWLcf369Qz71a5dG+PGjUPv3r1Nmo+MJyXoDNQ3T+m0KT8eBoWjq0yJyFyEbN2Ee+tW6l3v1qAR6n4/nyPbEhEREeWQ5LfdyqFv377o27cvXrx4gRs3buDV/z+zVbhwYXh5ecHNzU3mhGQIUaNB4vb5Om2Cizus2/nJE4jMRuiubbgy/Su96+09y6Dhr2uhsLY2YSoiIiIi8yB78RkaGoqyZctKsm83Nze0atVKkn2TfFIu/AVNaJBOm7LbGAhKW5kSkTkIC9j+bkoVPc+pWzk6ocmaLVC6FjJxMiIiIiLzIOk8n9lRvnx5FC9eHN27d0dISIjccSiPE1OSkbhzoU6bolg5WDXvLlMiMgdhAdtx8euxegtPwcICDZetgVP5jEfQJiIiIqKsyV58Au9God2zZw8ePnwodxTK45KP7YAY8UinTfnZRAgWsl/Ep3wqbPeOTAtPAPD+djaKNm1uulBEREREZihPFJ8cuIOyQ0yMg+r3n3XaLMp7w7LehzIlovwubPcOXPxqTKaFZ40JU1ChT38TpiIiIiIyT3mi+CTKjqSD6yDGvNJpU37xFf94QbmS3cKz6pdjTReKiIiIyIyx+KR8QfPmJVR/rtZps/RuAcuqDWRKRPlZ2O87WXgSERERmRiLT8oXkvYuBxLj/tcgCFB+Nkm+QJRvhf2+Excnjc6i8JzMwpOIiIjIyMyq+IyLi8Pr16/ljkFGpol8hKQj23TarJp0hUXpyjIlovzq0R+7s1l4jjNhKiIiIqKCwayKz3///RdFihSBp6cnunTpInccMpLEXYsBdfL/GqysoezO4oByzrFcBVg5OuldX3381yw8iYiIiCRiVsWnKIoQRRGPHz/G/v375Y5DRqAOu4WUs/t02qzb9IGiSHGZElF+5lqzFppv3gUrJ+d066qP/xrVRo6XIRURERFRwZCnis8hQ4agZ8+emD9/Pv755x+8ePEiR9unveWWI6Cah8TtC3QbbB1g3Wm4PGHILGgLUGcXbVv1cSw8iYiIiKRmKXeAVKIo4sGDBwgNDcWOHTu07R4eHqhduza8vb21XxUqVMhwH4GBgdplJyf9t9ZR/pASdAbqm6d02pQfD4PC0VWmRGQuUgvQE30+RaUBQ1FtFAtPIiIiIqnlmeIT0L1aKf7/gCDPnz9HeHg4/vrrL+06BwcHeHl5oWrVqvD09IStrS2CgoKwadMmCIIAURTh6elp8vxkPKJGg8Tt83XaBBd3WLfzkycQmR3XGl5o9/cp2Li5yx2FiIiIqEDIM8WnIAiwsLBASkpKuvZUqQVpbGwszp49i7Nnz+r0TV0vCALatm0rcWKSUsr5g9CEBum0KbuNgaC0lSkRmSMWnkRERESmk2eKTwA4ePAgSpUqhWvXrul8RURE6PTT9zxn6lVPFxcXTJgwwRSRSQJiSjISdy3SaVMUKwer5t1lSkRERERERIbKU8WnQqFA5cqVUblyZXz22Wfa9oiIiHQF6b1796DRaNLto06dOli7di3c3NxMGZ2MKPnYDogRj3TalJ9NhGCRp75dKQ+KfXAfD3b8Bq+vpkGwsJA7DhERERGlkS9+my9atCjatm2rcyutSqVCSEgIwsLCkJCQAKVSiapVq6J8+fIyJiVDiQlvofr9Z502iwq1YVnvQ5kSUX4R//QJTvTpgYTnTxH/7AkaLFoOhbW13LGIiIiI6P/li+IzI0qlEtWqVUO1atXkjkJGImo0SPCfADHmlU678vOvOHUOZSrxRSRO9H1XeALAkz/3IeVtHBr+ugaWtnYypyMiIiIiII/N80kFm2r7fKRcPqzTZundApZV68uUiPKDpJg3OOn3Od6Ghui0h584glP9PkdyTIxMyYiIiIgoLRaflCckHd+JpD9X6zbaO8Om73R5AlG+IIoizn05CG/+u5Xh+peXziNoyTwTpyIiIiKijLD4JNml3DqHxHXvFZkWlrAbsxyKopyvlfQTBAHVRo6DpYNDhusL1a6LmhO+MXEqIiIiIsqI7MVn2bJltfNzUsGjfh6K+KVfAmrd+V1tBnwPy+oNZUpF+Ylbg0ZovmU3rF0L6bQ7V66Kpuu2wtLeXqZkRERERJSW7MVnSEgIwsPD8fvvv6NSpUpyxyET0sS+RsKCgUDcG512646DYe3bQ6ZUlB8V8vJGi+17YVPUAwBg71kGzTbthLWzi7zBiIiIiEhL9uITANzd3dG5c2eULFlS7ihkImJKEhKWfglNxEOddst6baD8/CuZUlF+5lSxMlru3PfuSujmXbBxc5c7EhERERGlkW+nWqH8SxRFJK77Fur/zuu0K8pUh+3wnyAo8sTfRCgfsi/lCd9te+SOQUREREQZ4G/5ZHJJB1Yh+cQunTbBtSjsJqyCYMM5GYmIiIiIzBGLTzKp5IuBUO1YoNuotIXdhFVQFPKQJxQREREREUmOxSeZjDo0CAn+E4C0oxsLAmyHL4JF2RryBaM8LelNNB7uDZA7BhEREREZiMUnmYQmKhzxi4YAqgSdduVnk2Dl01amVJTXiWo1/h0zDBfGf4kr07+GJilJ7khERERElEssPklyYmI84hcNgfg6QqfdqvmnsP5oiEypKD+4Mf8HRJw8BgAI+W0DTvTtAdWrlzKnIiIiIqLcYPFJkhI1GiT4j4cm7JZOu0XVBrAZ8B0EQZApGeV1D/cG4O7qX3XaXl44h8Od2yL6dpBMqYiIiIgot1h8kmTElCQkrp6MlEv/6LQrPMrAbuyvECytZUpGeV3UjWu4NHl8huvinz3BpcnjIaZ9dpiIiIiI8jzO80mS0MS+RsLSL9PN5Ql7Z9hOXAPBwUWWXJT3Jb6IxNlhftAkqTJcb+XkjAZLV/CqOREREVE+w+KTjE797AESFg6CJuKh7goLS9iNWQ6LYmXlCUZ5nlqlwtnh/ZEQ/jzjDgoFPvh5JRzLljNtMCIiIiIyGItPMqqUW2cRv+RLID5Gd4XSFrYjFsOyekN5glGeJ4oirs6YjFdXLunt4zX5W3g0a2HCVERERERkLCw+yWiSju1A4vpvAXWKTrvgWhR2E1ZxLk/KVMjmdQjduVXv+tJduqPSwGEmTERERERExsTikwwmatRQbZ+PpD/XpFunKFMddhNWQVHIQ4ZklF9Enj2Fa99P17ve1csb9eYs5HOeRERERPkYi08yiJgYh4Tl45Fy5XC6dZb1PoTt8EUQbOxkSEb5Rdzjhzg3cjBEtTrD9TZu7mi8YgMsbGxNnIyIiIiIjInFJ+Wa5tVzxC8aAs3D2+nWWX88FMoeEyEoOJsP6ZcSF4czQ/ohKfp1husV1tZo5L8Oth7FTJyMiIiIiIyNxSflikKdjLhvP4EYHam7wsIKNgN/gHXz7vIEo3xDrVLh/LjheBP8n94+db6fj8J1fEyYioiIiIikwuKTcsU69iXEaBudNsHBBbZjf4Vl1QYypaL8IjkmBmeG++HFuTN6+1TwG4Syn35hwlREREREJCUWn5QrAkSd14piZWE7cTUsPDiHJ2UuITICp/p/gTf/3dLbx71hE9SaMtN0oYiIiIhIciw+yWAW1T6A3ZjlEBxc5I5CeVzsg/s42e9zxD99rLePfanS+GDZaiisrEyYjIiIiIikxuKTDGLl2wM2/b+DYMlCgTL36uolnB7UB0mvo/T2sXRwQOOVG6F0LWTCZERERERkCiw+KdeUPafAusNAzr1IWXp25G/8O2oI1IkJevsoCxdB03Vb4VylmgmTEREREZGpcB4MypUk+0JQdhzEwpOyFLrjN5wd5pdp4WnvWQYtA/6Ea81aJkxGRERERKbEK5+UK2orm6w7UYEmiiL+W7YYtxbPy7Sfa01vNFm7BTZF3EyUjIiIiIjkwOKTiIxOVKtxZcYUPNi6MdN+Hs1bouGyNbC0tzdRMiIiIiKSC4tPIjIqdWIC/h07HM/+/ivTfp6f9EC9H3/iqLZEREREBQSLTyIymqTo1zg9uC9eXb6Qab8qw0ejxsRv+MwwERERUQHC4pOIjCIhIhwn+/ZAzL1g/Z0EAbVnzEaFvgNNF4yIiIiI8gQWn0RksMQXkTjRqxtiH9zX20dhbY0GP/2Kkh0+NmEyIiIiIsorWHwSkUESX0TieBaFp5WjExqt3AD3DxqbMBkRERER5SWc59OIjh07Bj8/P1SoUAH29vZwdXVFzZo1MWnSJNy7d89kOVatWgVBELRfZcqUMdmxqWBRvXqJE326I/b+Xb19bIp6oMWOP1h4EhERERVwvPJpBCqVCoMGDcKWLVt02uPj4xEdHY2goCAsW7YMc+fOxZgxYyTN8vDhQ0ycOFHSYxABgCrqFU707o6Yu/qf8XSsUAnN1m+DXYmSJkxGRERERHkRi08DiaKIXr16Yffu3QAABwcHDBgwAD4+PlCpVAgMDERAQAASExMxduxYWFlZYcSIEZJlGTBgAGJjY2Fvb4+4uDhJjkOUHBODE30+xZvg//T2ca5cFc1/2w1locImTEZEREREeRVvuzXQli1btIWnm5sbLly4gKVLl6J3794YOHAgdu7ciR07dminlBg/fjzCwsIkybJ8+XIcPXoUlpaW+P777yU5BhEAWNrbw7lyVb3rnSpVRvMtASw8iYiIiEiLxacBRFHE9OnTta+XLVuGqlXT/0L+6aefYtiwYQDe3aI7a9Yso2cJCQnB5MmTAQBfffUVateubfRjEKUSLCxQf8HP8Oz2Wbp1juUrovnmACgLF5EhGRERERHlVSw+DXD69Gk8fPgQAODp6Ynu3bvr7TthwgTt8u7du6FSqYyWQ6PRoH///oiLi0O1atXw7bffGm3fRPoIFhbwmbcEZT79QtvmULY8mv+2GzZu7jImIyIiIqK8iMWnAQ4ePKhdbteuHRQK/R9n+fLlUalSJQBAbGwsTp48abQcS5cuxalTp6BQKLBu3ToolUqj7ZsoM4JCgXo//oSyn/eGg2dZ+P62G7buReWORURERER5EItPA9y4cUO7XL9+/Sz7p+2TdltD3L17F1OnTgUAjB07Fg0aNDDKfomyS1AoUPeHBWj5+0HYehSTOw4RERER5VEsPg0QHPy/KSbKli2bZf+0fe7cuWPw8TUaDfz8/JCQkIAKFSrghx9+MHifRLkhKBRQuhaSOwYRERER5WGcasUAr1+/1i4XKZL14Cpp+0RHRxt8/IULF+LcuXMQBAFr1qyBra2twftMq3r16hm2h4SEwN3dHUePHjXq8YhIfqlTNPH8JjI/PL+JzJdGo5E7QrbwyqcBYmNjtcvZKfzS9omJiTHo2Ldv39YOLDRs2DA0b97coP0RpSUmJyFm+SIk37kldxQiIiIiMhO88pkPqdVq9OvXDyqVCqVLl8a8efMkOc6tWxkXHtWrV0dcXBxatmwpyXFJXpqkJJwd3h9RVy9B898tNF61EUWb8I8bBUXqFRGe30Tmh+c3kfnKbODTvCR/pMyjHB0dtcsJCQlZ9k/bx8nJKdfHnTt3Li5dugQAWL16tU4OIkNoUlLw75hheH7sMABAnZiA04P7IvzUcVlzEREREVH+x+LTAC4uLtrlly9fZtk/bZ+02+bEzZs38d133wEA+vfvjw8//DBX+yF6n6hW48KEkXga+KdOu0aViDOD++L58SMyJSMiIiIic8Dbbg1QpUoVPHjwAAAQGhqKFi1aZNo/NDRUZ9vcWLduHZKSkgAAhQoV0jvCbdpjvXnzRqffpEmTOBcopfNgx294vH9Phus0SSpcnjoR7Y+eg4XSxsTJiIiIiMgcsPg0gJeXFw4ePAgAuHDhAgYMGJBp/wsXLuhsmxuiKGqXFy1alK1toqOjMX36dO3rkSNHsvikdMr26IlXly/g4Z5d6dZZu7iiyZotLDyJiIiIKNd4260BOnTooF0+dOhQpkMch4SE4O7duwDePSvatGlTyfMR5YTC0hI+C35G2c966bRbOjii2cYdcKma8dQ7RERERETZweLTAI0bN0bp0qUBAA8fPkRAQIDevmmvUn7yySewscndFaQlS5ZAFMUsv44dO6bdxtPTU2ddbp83JfMnKBSoO3shKvR9dxXf0t4ezTZsg2vNWjInIyIiIqL8jsWnARQKhXbwHwAYNWoU7ty5k65fQEAAVqxYAQBQKpXa+Tkz4uvrC0EQIAgCZs6cafTMRFkRFAp4z5iDql+ORZO1v6FwHR+5IxERERGRGeAznwbq27cv9u7di7179yIyMhL169fHgAED4OPjA5VKhcDAQOzatUv7rOaCBQtQrlw5mVMTZU4QBNSYMEXuGERERERkRlh8GkgQBGzbtg0DBgzAtm3bEBsbi6VLl6brp1QqMWfOHIwaNUqGlERERERERPLibbdGYGNjg61bt+LIkSPo06cPypUrB1tbWzg7O6N69eoYP348bty4gfHjx8sdlQo41aus56MlIiIiIpICr3waUcuWLdGyZUuD9nH8+HGjZPH19dWZloUoLGA7rs76Bo1XboR7I462TERERESmxSufRAXAs8OHcHHyOKTExeHUwN4IP3FU7khEREREVMCw+CQyc69vXse/Y4YB/z8PrUaViDND++HpP3/JnIyIiIiIChIWn0RmLO7pY5we1BvqhASddk1SEs59OQiPD+6TKRkRERERFTQsPonMVHJMDE4P7IXEF5EZrhdTUhD3+JGJUxERERFRQcXik8gMaZKTcW7kIMTcDdbbp8rw0agydKQJUxERERFRQcbik8jMiKKIK99+jYjTJ/T2KfVxV9SY+I0JUxERERFRQcfik8jMBK/4BaE7ftO7vki9BvCZvxSCIJgwFREREREVdCw+iczI4wN7cXPBbL3rHcqUQ6OVG2ChVJowFRERERERi08is/Hy0gVcmDha73pr10JosvY3KF0LmTAVEREREdE7LD6JzMDbsFCcGdoPmiRVhusV1tZovGIDHMuWM3EyIiIiIqJ3WHwS5XOq11E4NaAnkl5H6e3js+BnFPFpYMJURERERES6WHwS5WNqlQpnh/XH27AHevvUmDAFpT/uasJURERERETpsfgkyqdEUcSlr8fi5cV/9fYp26MnqowYY8JUREREREQZY/FJlE/dWjwPj/b9rne9e+NmqPP9fE6pQkRERER5gqXcAYgoZ0SNBv8tW4z/li3W28epUmU0Wr4WCisrEyYjIiIiItKPxSdRPqJ69RLnx3+JiFPH9faxcXNHk7W/wcrJyWS5iIhyQxRFiKIod4wCR6PRyB2BqMATBKFA3p3G4pMon3h56QL+HT0ECeHP9faxsLVF49WbYV+ilAmTERFlj0ajQVxcHGJiYhAXFwe1Wi13pALF3t4eABAcHCxzEiICAAsLC9jb28PJyQn29vZQKMz/iUgWn0R5nCiKuLvGHzfn/wAxs1/UBAENlvijkJe3ybIREWWXRqPB48ePER8fL3eUAiu1+CSivEGtViMmJgYxMTGws7NDqVKlzL4AZfFJlIclvYnGxUmj8exwYJZ9a8+YgxJt2psgFRFRzqQtPBUKBVxcXODo6Ahra2uz/0UrL4mJiQEAOPGxDCLZaTQaJCUlITY2FtHR0YiPj8fjx4/NvgBl8UmUR0XduIZzIwch/snjTPtZOjjCZ94SlGz/kYmSERHlTFxcnLbwLF26NGxtbeWOVCCl/kJrzr/YEuUXCoUClpaWsLOzg5OTEx49eoT4+HjExcXB0dFR7niS4U8fojxGFEXc37QOx3p8nGXh6VKtBtrs+4eFJxHlaalX3FxcXFh4EhG9x9bWFi4uLgD+9/PSXPHKJ1Eekvz2LS5/Mx6PD/yRZd9yX/SB9/TvYWHDX+SIKG+Li4sDALP+az4RkSEcHR0RFRWl/Xlprlh8EuUR0f/dwrmRg/E2NCTTfha2tqg7eyE8u3Q3UTIiotwTRVE7qq21tbXMaYiI8qbUn49qtRqiKJrtNCwsPonygEf79+DiV2OhUSVm2s+pYmU0XLYaThUrmygZEZFh0s7jyWcNiYgylvbnI4tPIpLMsyOBOD9uBJDFpN+lu3RH3R/mw9KOQ+UTERERUf7D4pNIRlHXr+Lf0UMzLTwV1krUnjkbZT/rbbZ/BSMiIiIi88fik0gmalUizo4YAHVCgt4+Dp5l0XD5GrhUq2HCZERERERExseHL4hkYqG0gc/8pbB0yHj0xxLtPkLrP/5m4UlEREREZoHFJ5GMijZuhpY798G2WHGd9spDRqLh8jWwcnKSKRkRERERkXGx+CSSmXOVami1+yCcq1YHAJTu9Alqfj2Nz3cSERERkVlh8UmUB9h6FEOLHftQZcQY1Ju3hIUnEREZVVhYGJydneHs7AxfX98s+x88eBB2dnYQBAEKhQKLFi3SWZ+QkIBz585h2bJl8PPzQ40aNWBpaQlBECAIAo4fP56tXGXKlNFuk92v7OQ3lL5cCoUCTk5OqFixIj7//HPs3r1bO4/t+44fP673PVhZWaFw4cKoV68eRo4ciUuXLmUrV+r2ZcqUyfZ78fX11W4XFhaW7e2IpMABh4jyCCsHB9Sc+I3cMYiIqIDbtm0b+vXrh+TkZFhYWGD16tXo37+/Tp+ePXti7969suSrWrWqLMcF3s2/GBsbi9jYWNy/fx87duxA/fr1sXv3bpQsWTLb+0lJSUFUVBSioqJw+fJlLF++HEOHDsXy5cthYWEh4TsgkheLTyIiIiICAPj7+2PkyJHQaDRQKpXYtm0bunbtmq6fKIraZTs7O3h7eyMiIgIhISE5Ot7ff/+NpKSkLPt16NABjx8/BgAMHDgwR8cw1M2bN7XLoiji9evXOHPmDJYuXYqIiAhcuHAB7dq1w9WrV2FlZZXhPjp37owffvhB+zolJQVPnz7F/v37sWbNGqjVaqxcuRLOzs6YN2+e5O+JSC4sPomIiIgIc+bMwdSpUwEADg4O2Lt3L1q1apVh365du6Jr166oW7cuqlatCgsLC/j5+eW4+KxUqVKWfc6fP68tPL28vFCvXr0cHcNQNWqkH3W+WbNm8PPzQ4MGDfD48WPcunULGzZswODBgzPch4uLS7r9eHt7o2PHjmjfvj26dOkCAFiyZAkmTZqEIkWKGP19EOUFfOaTSEJxTx7hxtzvoElJkTsKERGRXhMnTtQWnoUKFcKRI0f0Fp4A0K9fP/Tr1w81atSQ/DbRdevWaZdNfdUzM8WKFdN+ZgCwf//+XO2nc+fOaNq0KQAgKSkJx44dM0o+oryIxSeRRJLeROPUgF4IXrUcZwb3QfLbt3JHIiIi0qFWqzFw4EDtgELFixfHyZMnUb9+fZmTvRMfH4/t27cDAJRKJXr37i1zIl2NGzfWLoeGhuZ6P2k/74cPHxqUiSgvY/FJJAG1SoWzw/oj9v5dAED4iaM4/nlnJESEy5yMiIjonaSkJHz22WfaK4sVKlTAmTNnUL16dZmT/U9AQABiYmIAvLtCWKhQIb19N2zYoB3V1c/PzyT5LC3/9wSbvlFvc7qftMtE5obFJ5GRiWo1Lk0ehxfnz+q0R98OwpFPOuBN8H8yJSMiInonLi4OH330EXbv3g3g3bOUp0+fztEUHqaQV2+5TXXt2jXtcokSJXK9n6CgIO1y2bJlDYlElKfxTytERhZ+6jge/bE7w3UJz5/i5sI5aLJ6s2lDERHlA6JGA/Hta7ljyEJwcIWgMM01gTdv3qB169b4999/Aby7dfTAgQNwcXExyfGzKyQkBCdPngQAlC5dGq1bt5Y5ka6EhATMnTtX+zq3+a5cuYJDhw4BAIoUKYI2bdpkuU1ycrJOwZqZuLi4XOUikgKLTyIjK+bbCmW6f46wgO3p1jmWq4D6C36WIRURUd4nvn2Nt8PzxrOGpubgfwGCU2GTHCvt1bqmTZvi0KFDsLOzM8mxc2LdunXaKV369+8PhYmK88yIoojo6GicPn0as2bNwvXr1wEAbm5uGDp0aLb3k5KSgmfPnmH//v349ttvoVarIQgCFi5cmK3/F8+ePUPNmjVz/T6I5MLik0gCtWf9iKgbVxFzN1jbpixcBE3Xb4W1i6uMyYiIqKATBEFb1N28eRO3bt2Cj4+PzKl0qdVqbNy4EcC7vP37989yGz8/P0me9RQEIdP17u7uWV453rhxo/b9ZKRChQqYPXs2evTokduYRPmC/H9CIjJDlrZ2aPjLaljY2gIALGxt0WTNFtiX8pQ5GRERFXRNmjRBv379AADR0dFo06YNLly4IHMqXYGBgXj69CmAd7ezenrmrX8/FQoFqlatiunTp+P27dsGFe8KhQI9e/ZE9+7ds72Np6cnRFHM1lfz5s1znY3I2Hjlk0giThUro87383F15jdouHwNCtWqLXckIiIiKBQKrFu3DgqFAuvXr8ebN2/w4YcfIjAwEA0aNJA7HoC8NdDQzZs3tcuCIMDe3h7u7u45ulW5c+fO+OGHH7SvX7x4gatXr+Lnn3/Gw4cP8d133+HBgwfYvJljQpB5Y/FJJKEyn/SAR7MWsCniJncUIqI8T3BwhYN/3roCZyqCg2kfyVAoFFi7dq32v6kF6KFDh9CwYUOTZnnfy5cvsW/fPgBAoUKF0KVLF1nz1KhRw+B9uLi4pNtPixYtMHDgQPj6+uLatWvYsmULmjVrhsGDBxt8PKK8isUnUQ4kvojEwz92o9LAYVk+A5KKhScRUfYICoXJBt2hd1fxVq9eDYVCgdWrVyMmJgZt27bFX3/9hcaNG8uWa/PmzUhOTgYA9OrVC0qlUrYsUnN2dsa2bdtQq1YtJCUlYfLkyejevTtcXTk+BJknPvNJlE2R507jn49a4cacmQjbtU3uOERERAYTBAErV67UjtQaGxuLdu3a4fTp07Jlyku33JpClSpVMHz4cABAVFSUzvQtROaGxSdRFkS1Grd/+Qkn+nyKxBeRAICrM7/Bm+D/ZE5GRERkOEEQ4O/vjxEjRgAA3r59i/bt2+PUqVMmz3LhwgXt/JV169ZFrVq1TJ5BDlOmTNE+Q7ps2TJERkbKnIhIGiw+iTKRFPMGpwf1wa3F8wCNRtuuTkzAuZGDkcKJm4mIyAwIgoDly5fjyy+/BPC/AvTEiRMmzWHIVc8NGzZAEAQIgiDJlCtSKlq0KEaOHAkAiI+Px7x582RORCQNPvNJpEfM/bs4M6Qf3oY9yHB9bMg9XPn2a/gs/CXbz38SERHlZcuWLYOFhQV+/vlnxMXFoUOHDvjzzz/h6+ur0y88PByHDh3Sabt//752+dChQwgLC9NZn1VBmJCQgO3btwMAbG1t0bNnz1y/j/zoq6++wq+//oq3b9/C398fkyZNgoeHh9yxiIyKxSdRBp4dCcT5cSOQ8vZtpv1i7t1FSlwcrBwcTJSMiIhIWkuXLoVCocCSJUsQHx+Pjh07Yv/+/WjZsqW2z507d9C/f3+9+8joyl1WxWdAQADevHkDAOjWrRucnZ1z9wbyqcKFC2PMmDGYPXs2EhIS8OOPP2Lp0qVyxyIyKt52S5SGKIr4b/linBnSL8vCs0K/gWixaz8LTyIiMjuLFy/G+PHjAby7DfSjjz7CkSNHJD1m2ltuBwwYIOmx8qoJEyZoi+5Vq1bh6dOnMiciMi5BFEVR7hCUv1SvXh1xcXHpbqfJ71Li4nDxqzF48tf+TPtZOjjCZ94SlGz/kYmSEZnO0aNHAUDnCgeRITQaDYKDgwEAlStXhkLBv3vLJSYmBgDg5OQkcxIiep+hPyvLlCkDe3t73Lp1S4p4RsPbbokAxD1+iDND+mU5gq1j+YpovHIjHMuVN1EyIiIiIiLzwOKTCryIMyfx76ghSIp+nWm/Yq0+RIOffoWVo6OJkhERERERmQ/e+0IFliiKuLd+FU75fZ5l4Vl15Dg0XrmRhScRERERUS7xyicVSGpVIi5P+woPd+/ItJ+FrS3qL/gFJTt8bKJkRERERETmicUnFTgJEeE4O8wPUdevZtrPrmQpNF65ES5Vq5soGRERERGR+eJtt1SgPA08iL87tsyy8HRv2ASt9way8CQiIiIiMhJe+aQCITkmBle/n5blbbYAUNFvMLy+mQmFJU8PIiIiIiJj4W/XZPYiz53GxUljEP/sSab9FNZK1J29AGW6fWaiZEREREREBQeLTzJb6sQE3Fz4I+6tW5llX5uiHmi8Yj0K1apjgmRERERERAUPi08yS6+DbuDChJGIuRecZd9Cteuikf962LoXNUEyIiIiIqKCicUnmRVNSgrurPgZt39eBDElJfPOCgWqDBuF6qMnQmFtbZqAREREREQFFItPMhuxoQ9wYeJIRF29nGVfe88yqL9wGYrU9TFBMiIiIiIiYvFJ+Z4oigjZsgE35s6COiEhy/7levZDrSkzYGlvb4J0REREREQEsPikfE716iXOTxiJiJPHsuxr414U9eYuRjHfViZIRkREREREabH4pHwr+r9bODOkH+KfPs6yb8mOnVDnu3lQuhYyQTIiIiIiInofi0/Kl54c+hMXJo6EOj4+035WTs6oM+tHlOr0CQRBMFE6IiIiIiJ6H4tPynci/z2DcyMGZNmvaJPmqDdvCeyKFTdBKiIiIiIiyoxC7gDm5NixY/Dz80OFChVgb28PV1dX1KxZE5MmTcK9e/eMeqyoqCjs2LEDI0aMQKNGjeDm5gZra2s4OjqiQoUK6NGjB7Zt24akpCSjHjcvcKvfECU+7KB3vYWNLWrP/BFNN2xn4UlERERElEfwyqcRqFQqDBo0CFu2bNFpj4+PR3R0NIKCgrBs2TLMnTsXY8aMMfh4EyZMwM8//4yUDOaxTE5Oxtu3bxESEoJdu3ahYsWK2LRpEz744AODj5tXCAoF6i9ahqPdO+JN8H8665yrVkfDX1bBsVwFmdIREREREVFGWHwaSBRF9OrVC7t37wYAODg4YMCAAfDx8YFKpUJgYCACAgKQmJiIsWPHwsrKCiNGjDDomLdu3dIWnp6enmjZsiXq1KkDNzc3qFQqXLp0CZs3b0Z0dDTu3buH1q1b4/Dhw2ZVgFra26Pxqo043KUdkl5HAQBKtv8YPguWwtKOU6gQEREREeU1giiKotwh8rPNmzejb9++AAA3NzecOHECVatW1emza9cufPbZZxBFEUqlEnfu3EGZMmVyfcwOHTrA1tYWY8aMQdOmTTMcSCciIgKdOnXChQsXAACVK1fG7du3oVAYfqd19erVERcXh7CwMIP3ZajIf8/gZL/PUG3keFQdOY6DChEZ6OjRowCAli1bypyEzIVGo0FwcDCAd/8WGePfIcqdmJgYAICTk5PMSYjofYb+rCxTpgzs7e1x69YtKeIZDf8FMIAoipg+fbr29bJly9IVngDw6aefYtiwYQDe3aI7a9Ysg467ZcsW7N69G82aNdNbbBUtWhS///47bGxsAADBwcE4ffq0QcfNi9w/aIz2R8+h2qjxLDyJiIhy4NChQxgxYgS8vLy0Y0cULVoUderUwfjx483y9wZTSU5Oxq5duzB48GDUrFkTRYsWhbW1NZydnVGhQgV0794dy5cvx4sXLzLcPiwsDIIg5Phr79696fbl6+urXZ+bCwczZ87McQ4XF5ccvSdLS0u4urrCy8sLAwcO1P4hNCtlypTR7iPV8ePHc/XZvf/l6+tr9M+AWHwa5PTp03j48CGAd7e/du/eXW/fCRMmaJd3794NlUqV6+MWKpS9uSpLlCiB5s2ba19fv34918c0JXUOPxv7EqUkSkJERGR+Ll26hAYNGqB9+/bw9/fHzZs38fLlSyQnJyMyMhJXr17F4sWL0bRpU7Rt2xb379+XO3K+8ttvv6FixYro0aMH1qxZg6CgIERGRiI5ORkxMTEICQnB7t27MXLkSBQvXhxDhw5FZGSk3LFlpVarER0djZs3b2LdunVo1aoVunTpgvgsptSj/IfPfBrg4MGD2uV27dplenm8fPnyqFSpEu7evYvY2FicPHkSbdq0kTxj2ltr8sMJHP3fLZwdMQC1vpmJEm3ayx2HiIjIrOzfvx+DBw9GQkICAKBGjRro27cv6tSpA1dXV7x69Qrnzp3Dpk2bEBISgr///hsffPAB/vjjDzRu3Fjm9HmbRqPB6NGjsXz5cm1b06ZN8fHHH6NWrVooUqQI4uLi8OTJExw9ehR//PEHXrx4gVWrVqFhw4bw8/PLcL/16tXD+vXrs5XB09PTGG9Frx9++AGdO3fOsp+FhUWm699/T2q1GpGRkfjnn3+wbNkyJCQk4I8//kD//v2xY8eOHGX08fHBzZs39a7v378/Ll26BAAIDAxE8eIZz4xgb5/xGCLG+gwKKhafBrhx44Z2uX79+ln2r1+/Pu7evavd1hTFZ9qMhjxnKjVRo8G99atwc8FsaJKScGH8l2i56wCcq1STOxoREZFZuHz5Mvr374/k5GQIgoC5c+diwoQJ6X5JbtOmDSZPnoxvvvkGixYtwqtXr/Dxxx/jypUrefp3CblNnTpVW3i6u7vjt99+Q+vWrTPs+8UXX2Dp0qXw9/fHzJkzM92vvb09atSoYey4uVKiRAmjZNH3ntq0aYNPP/0UTZo0QVJSEnbu3ImpU6fCy8vL4H2nXZ+qUqVKOf6eNtZnUFDxtlsDpD4UDABly5bNsn/aPnfu3JEkU1qHDx/WZrS2tsaHH34o+TFzIyEiHKf8Psf12TOg+f95SVPi4nBmaD+ool7JnI6IiCj/S0pK0haeALBw4UJ89dVXeq/OWFtbY+HChRg7diwA4PXr1+jTp4+p4uY7x48fx7x58wAALi4uOHv2rN7CM5WdnR0mTJiAS5cuoUIFThGXysfHB5999pn2dWBgoIxpyNh45dMAr1+/1i4XKVIky/5p+0RHR0sRSSsuLg7Dhw/Xvh41ahRcXV1ztI/q1atn2B4SEgJ3d/dsPwyeGVGjQfT0CdBEhKdbF/f4EQ726g6ncVMgWPJblcgU4uLiAMAo5zdRKnt7e9jb2yMmJoaj3cpk8+bN2nEqGjZsiIEDB2pHv83MlClTsG/fPjx48ACnT5/GgQMH0KxZM50+w4cPx9atWwEAb968yXR/NWvWxKNHj9CkSRP8+eef6dY7OzsDAHr27Al/f38EBwdj9erVOHbsGMLDw/H27Vv89ttv+Oijj7TbHD16FFu3bsXly5cRHh6O5ORkuLq6olChQqhSpQpatGiBjz/+GIULF87y/ebW9OnTkTqBxJw5c+Dm5patzxcAihUrhmLFiun0j42N1S6r1eps7ysjarVaZ7853VfacUoSEhJynSUn7yntlc579+7p7Zt20o7s5srN52GszyAzGo0GarUacXFxOH78eK62zw/4G70B0p5Etra2WfZP20eKb9pUGo0GX3zxhXaAgCpVqmR5S4dcBIUCdp98jrf+SzJcnxJ8GwmBB2DXsYtJcxERkbwSnj6RO0KmbEuUzFY/fe/DuogbLJRKY0bK1MaNG7XLo0aNyvYI8TY2NhgyZAgmT56s3c/7xadUtm7dirFjx+odpFGj0WDEiBHYtm1bunWRkZGIjIzEnTt3sHfvXgiCgH79+qXrl1rsAlkXzvqEhIRoRwYuVqwYevTokav90P+kvSJvyQsQZoX/N83Ql19+if379wN490N19+7dcHBwyPF+9M0TlDrPp9HmAWzZEhdfhCMsYHu6VSXbfwyf736EpZ6HvonIuDjPJxlb2rnrnJycsn3lM9C7hZSxDPbpg4hs9dP3Pppv/R2uH5hmAJ+3b9/i6tWrAN4Vk927d4eVlVW2t+/Zs6e2+Dxz5ky6eULT7iurOURTi14LC4tM+16/fh27du1C4cKFMXbsWDRu3BhKpRK3b99GtWrV4OTkhBUrVmgLzypVqmDo0KGoWbMmChUqhISEBDx48ADnz5/Hvn37YGtrm2W23M5/mjqnOvBuLnZjXGF1dHTULmf1WWUlbSHn6OiY430p0/yRJDufoz45eU8hISHa5cqVK+vtm/aPKNnNlZvPw1ifQWY0Go32c/Hx8cnxXSL55a4SFp8GcHR0RFRUFABoR43LTNo+Uk3wPGbMGKxYsUJ7jEOHDqFatbw/aI/3t7Px4uK/iHsYBgCwsLWF97c/oGyPXpy/k4iIyAA3btxASkoKgHej2+ak8ASAUqVKwd3dHZGRkXj+/DnCw8Ph4eEhRVStW7duoWLFijh16hSKFi2qbffx8dEup97qW6pUKZw/fz7d71aNGjVC7969sXTp0lxf1cyOK1euZJjPWOLi4hAUFJRlP2tra1SqVMnox0/r6dOn2cri7u4Od3f3XB3j8ePH2LJlC4B376lbt2652o9UTPEZmDMWnwZwcXHRFp8vX77Msn/aPlJMPDtq1CgsW7YMwLsrnoGBgWjQoIHRjyMFKwcHNPhpOY716ATXGl6o/9OvcCxbTu5YRERE+V7a3z/SFnI54eHhoZ2L8uXLl5IXnwDw66+/Zpo3PPzdeBF169bN9I/6CoUix+Ne5IQxPt/MXLp0CTVr1syyn6enJ8LCwox+/LSmTZuGadOmZdlvxowZOXrkS6PRaKdamTZtmvaPBVOnTkXJktm7xd1UpPoMCgoWnwaoUqUKHjx4AAAIDQ1FixaZ3yIUGhqqs62xiKKIESNGaK94urq64p9//kHdunWNdgxTKFy7Hppt2oki9RpAkcO/yhIREVHG0o5RkZvHcADdWyalvIqYqkSJElmOFluyZEncu3cPJ0+eRHBwMCpXrpzj46QdsCa30o7jkdvPt6A5ceJEpne2FStWDN988w1GjhxpwlRkCvnj5uA8Ku1IXGnv99cnbZ+czFeUGY1Gg0GDBmkLz8KFC+Po0aN5ovCMf/YUlyaPy9F0Ke4Nm7DwJCIiMqK0hWPqiNY59fbtW+1y2kF6pFKrVq0s+wwZMgQAEBUVBS8vL3zyySdYuXIlrl+/rr3N2BTSXnVN+zkZS/PmzSGKYpZfUl/1BID169dnK4uhV/w6deqEgQMHGie0kZnqMzBXLD4N0KFDB+3yoUOHMh3iOCQkBHfv3gXw7h+Bpk2bGnx8tVoNPz8/rFu3DsC7e8uPHTsGb29vg/dtCE1SEu6sXIZDHzZB6M6tuDx1klH+skhEREQ5l3aqt9RbVXPq+fPn2mUppyxJVahQoSz7fP7551i0aBHs7OyQlJSEPXv2YNiwYfD29oarqys++ugjbN26VfJCNO3nGxGRvYGoCrp69erh5s2b2q8TJ07A398fNWrUAACsXLkSHTp0MOkfEcg0eNutARo3bozSpUvj0aNHePjwIQICAvQOr71o0SLt8ieffAIbGxuDjq1Wq9GnTx/tKG8eHh44cuSI7IMLRZ47jSszpiD2/l1t29PAPxG2axvK9ugpYzIiIspPOpy8KHcEo9D3PmzcTDcQSc2aNWFhYQG1Wo2goCAkJyfnaNChJ0+eaJ/39PDwQLFixaSKqpV2RNLMjB8/Hn379sXOnTtx+PBhnD17FhEREXj79i3+/PNP/Pnnn/jxxx+xb98+lC1bVpKstWvX1i5fvHgRQ4cOleQ45sTe3l5baKZq1qwZBgwYgE6dOiEwMBDHjx/HjBkzMHv2bJlSkhRYfBpAoVDgu+++g5+fH4B3A/54eXmle54zICBAe1usUqnEt99+q3efvr6+OHHiBAD9DyqnpKSgV69e2LlzJ4B3z0UcPXpU8hHOMpMQGYHrs2fg8f49Ga6/+t1UuNVvCIcy0vzgJyIi82JfsrTcEYwiL7wPR0dH1K1bFxcuXEBiYiL++usvdOrUKdvb//7779plX1/fdOvTFooajSbTKR9ye9tvZooUKYIRI0ZgxIgRAID79+8jMDAQK1euxM2bNxEUFITu3bvj8uXLRj82oDs11cGDB3Nc3NP/WFtbY/PmzahatSpevXqFBQsWoH///qhQoYLc0chIWHwaqG/fvti7dy/27t2LyMhI1K9fHwMGDICPjw9UKhUCAwOxa9cu7W2nCxYsQLlyho3i2r9/f23haWFhgXHjxuH27du4fft2ptuVLl0aderUMejY79OkpOD+prW4tWQ+UjJ5zkEdH4/z40egxY59fKaTiIjIxAYNGqQde2LRokX4+OOPszWVmUql0o6kn7qf96V9pjQqKkrnNtS0Xrx4ka3ZAQxVoUIFVKhQAYMHD0aDBg1w7do1XLlyJdeDEmWlUqVKaNasGU6ePInnz59jy5Yt6N+/v9GPU1C4ublh2rRpGDduHJKTkzF16lTs2LFD7lhkJCw+DSQIArZt24YBAwZg27ZtiI2NxdKlS9P1UyqVmDNnDkaNGmXwMU+dOqVdVqvVmDhxYra269evHzZs2GDw8VO9vHQBV779Gm/uZF70ptIkJSHx5QvYFStutAxERESUtb59++KHH37Ao0ePcPLkSfz8888YM2ZMlttNnToV9+7dA/Bu3sxWrVql65P2j+oXL15E+/btM9zXpk2bcpk+d6ytrdGiRQtcu3YNwLviV4riEwBmzpypvQI6fvx4NGvWDOXLl8/WtsHBwXj58iUaN24sSbb8aNiwYVi4cCGePn2KXbt2Ydq0admabobyPg44ZAQ2NjbYunUrjhw5gj59+qBcuXKwtbWFs7MzqlevjvHjx+PGjRsYP3683FGNRhP9Gsd6fJytwtPSwRHeM2aj1d5AFp5EREQyUCqVWLt2rfZ20HHjxuGnn37SO1hiUlISJk+erB2zwtnZGZs3b86wb9rbThcsWAC1Wp2uz8WLFzFjxgxD34aODRs2QKVS6V2fmJiIY8eOAXh3sSCjO88EQdB+GaJFixaYPHkyACA6OhqNGzfGkSNHMt0mMTERS5YsQb169bQFPr1jY2ODqVOnAgBHjjUzvPJpRC1bttT5AZwbx48fz7KPKYbSzooYHwcUynrQpNJduqPWlBkmHViBiIiI0qtfvz5Wr16NYcOGITExERMmTMDGjRvRp08f1KlTB66urnj16hX+/fdfbNy4Effv3wfwbuTZPXv26H1sqEaNGmjVqhWOHDmCY8eOoW3bthg9ejRKly6NFy9e4ODBg1ixYgU8PT0RFRWFFy9eGOX99O/fHxMmTMBHH32EJk2aoFKlSnB2dsabN2/w33//YdWqVdqrnt26dUPx4tL+AXz27NmIjY3F8uXLERERgdatW6Np06bo1KkTatWqhcKFCyM+Ph5Pnz7F8ePHsXfv3myNPhwXF4egoKBsZShSpAg8PDz0rg8ICNB7W3Ra9evXz3AQy6dPn2Y7S4UKFQwaYHPgwIGYN28eHj58iD179uDatWuyz+gAmPYzMEsiUQ5Vq1ZNLGllIe4s667361DbpmLkv2fkjkpEOXTkyBHxyJEjcscgM6JWq8Xbt2+Lt2/fFtVqtdxxCrQ3b96Ib968Ec+fPy/Wq1dPBJDlV6tWrcTg4OAs9x0WFiaWKVNG734qVaok3r9/X/T09BQBiM2bN89wP6n9+/Xrl+Uxs5MfgNiuXTvxzZs3We7DWLZs2aJ9n1l9WVlZiSNGjBBfvHihs4/Q0NBsv7+0X2PGjEmXp3nz5jnez+LFi7Xbz5gxI1dZrl69qvc96fv//77Vq1drt+nUqVO69Wk/5+xK+3mEhoZmaxtjfQaZMfRnpaenp1itWrUcb2dqvPJJRmVhZ4fqYyahot9gDixERESUB9WvXx8XLlzAoUOH8Mcff+D06dMIDw9HTEwMXFxcUKJECTRv3hyffPIJmjVrlq19enp64vLly1i4cCH27t2LsLAwWFpaonz58vj0008xZswY2NvbG/V93L59G4cOHcLZs2dx9+5dREZG4uXLl7C2tkbJkiXh4+ODXr166X0GVSq9evVCjx49sGfPHvz99984f/48IiIi8Pr1a9ja2sLd3R3e3t5o2bIlevToka0rkQWVn58f5s6di5CQEOzbtw+XL19G3bp15Y5FBhBE8f+HYSXKpurVqyPmXjB+Kqk7yXTJDp1Qa+osPtdJlI8dPXoUAAx+hIAolUajQXBwMACgcuXKmU7DQdKKiYkBADg5OcmchIjeZ+jPyjJlysDe3h63bt2SIp7R8Mon5Ypg76BddihTDrVn/QiPpr7yBSIiIiIiojyNxSflisLRCXYl3FHu816oNGgELJRKuSMREREREVEexuKTckehQPsjZ6GwtpY7CRERERER5QN88IJyjYUnERERERFlF4tPIiIiIiIikhyLTyIiIiIiIpIci08iIiIiIiKSHItPIiIiIiIikhyLTyIiIiIiIpIci08iIiIiIiKSHItPIiIikowgCNpljUYjYxIiorwr7c/HtD83zQ2LTyIiIpKMIAiwsLAAACQlJcmchogob0r9+WhhYcHik4iIiCi37O3tAQCxsbEyJyEiyptSfz6m/rw0Vyw+iYiISFJOTk4AgOjoaCQkJMichogob0lISEB0dDSA//28NFeWcgcgIiIi82Zvbw87OzvEx8fj0aNHcHFxgaOjI6ytraFQ8O/gppL6TBmfvSWSn0ajQVJSEmJjYxEdHQ2NRgM7Ozuzv/LJ4pOIiIgkpVAoUKpUKTx+/Bjx8fGIiopCVFSU3LEKHLVaDQDaZ3CJKO+ws7NDqVKlzP4Pciw+iYiISHKpBWhcXBxiYmIQFxenLYbINOLi4gCY/219RPmFhYUF7O3t4eTkBHt7e7MvPAEWn0RERGQiCoUCjo6OcHR0BACIoghRFGVOVXAcP34cAODj4yNvECKCIAhmPaqtPiw+iYiISBYF9ZcvuRWEqytElDfxpw8RERERERFJjsUnERERERERSY7FJxEREREREUmOxScRERERERFJjsUnERERERERSY7FJxEREREREUmOxScRERERERFJjsUnERERERERSY7FJxEREREREUmOxScRERERERFJjsUnERERERERSc5S7gCU/zx69AgqlQrVq1eXOwoRGVlcXBwAwN7eXuYkRGRsPL+JzNezZ8+gVCrljpElXvmkHEtISIBarZY7Rp6n0Wjw4sULaDQauaNki5x5pT62sfdv6P4M2T6n2+a0f3h4OMLDw3Ocq6Dh+Z13js3zm+e3sfH8zjvH5vmd/f5qtRoJCQk5zmVyIlEOVatWTaxWrZrcMfK80NBQEYAYGhoqd5RskTOv1Mc29v4N3Z8h2+d025z25/mdPTy/886xeX7z/DY2nt9559g8v83v/OaVTyIiIiIiIpIci08iIiIiIiKSHItPIom4uLhgxowZcHFxkTtKtsiZV+pjG3v/hu7PkO1zum1++z7ML/Lb58rz23T74/md/+W3z5Xnt+n2x/PbcIIoiqLcISh/SR3l9tatWzInISJj4/lNZL54fhOZr/xyfvPKJxEREREREUmOVz6JiIiIiIhIcrzySURERERERJJj8UlERERERESSY/FJREREREREkmPxSURERERERJJj8UlERERERESSY/FJstq4cSMaNWoEJycnODk5oVGjRti8ebPcsYjIAMHBwVi6dCn69OmDqlWrwsLCAoIgYMOGDXJHIyIDJCcn4/Dhwxg3bhzq1KkDR0dHWFtbo3Tp0ujVqxcuXbokd0QiMsAvv/yCHj16oGrVqihcuDCsrKzg5uaGNm3aYMuWLTDGJCmcaoVkM2TIEKxevRp2dnZo1aoVAODw4cNISEjA8OHD8euvv8qckIhyY+zYsVi6dGm69vXr18PPz8/0gYjIKA4fPow2bdoAAIoXL466detCqVTixo0buHv3LiwsLLB8+XIMHTpU5qRElBslS5ZEZGQkatSogRIlSsDe3h4PHz7E+fPnIYoiOnfujN9//x0KRe6vX/LKJ8lix44dWL16NUqUKIGgoCDs27cP+/btw61bt1C8eHH4+/vj999/lzsmEeVCjRo1MGnSJGzfvh337t1Dhw4d5I5EREagUCjQvXt3nDlzBk+fPsW+ffuwa9cu3LlzB0uWLIFarcbIkSMRHBwsd1QiyoXt27fj9evXuHLlCvbv34/t27fj3LlzuHnzJooWLYo//vgDGzduNOgYLD5JFvPmzdP+t2zZstr2smXLatf9+OOPsmQjIsMMGjQI8+fPx2effYYKFSpAEAS5IxGREbRs2RK7du1Co0aNdNoFQcCYMWPQunVrpKSkYOfOnTIlJCJDNGnSBPb29unaq1evji+//BIA8M8//xh0DBafZHKPHz/G1atXoVQq0a1bt3Tru3XrBmtra1y6dAlPnjyRISERERHlVO3atQGA/3YTmSFLS0sAgFKpNGw/xghDeZMoinjw4AGuXLmCq1evar8iIiJ0+uTUsWPHsHHjRpw+fRrPnz+HtbU1SpYsiXbt2mHIkCGoWLFipttfvXoVwLu/otjY2KRbb2tri+rVq+Pq1au4du0aSpYsmeOMROYur57fRGS4/Hp+3717FwBQrFgxg/ZDZM7y4/kdGhqKFStWAAA6deqU6/0AAEQyW+PHjxcBZPqVE4mJiWLv3r0z3Z+NjY24ZMmSTPezdOlSEYDYpUsXvX06deokAhB/+eWXHGUkKijy6vmdkY4dO4oAxPXr1+d4W6KCKD+d36lu3LghWlpaioIgiNeuXcv1fojMXX44v9etWyf269dP7Nmzp9isWTPR0tJSVCgU4jfffJPTt5sOr3yaMbVarfNaqVSiRo0auHz5co73JYoievXqhd27dwMAHBwcMGDAAPj4+EClUiEwMBABAQFITEzE2LFjYWVlhREjRmS4r7dv3wJAhveUp3JwcAAAxMbG5jgrUUGQV89vIjJcfju/4+Pj0bt3b6SkpMDPzw+1atXKcU6igiI/nN9nzpzRGVjI0tIS33//PcaPH5/jjBmFJjO1cuVKccyYMeKGDRvE69evi8nJyaIoirn6y8qmTZu027i5uYm3b99O12fnzp2iIAgiAFGpVIqhoaEZ7mv27NkiALFXr156j9ezZ08RgDhnzpxsZyQqSPLq+Z0RXvkkypn8dH4nJyeLnTt3FgGINWvWFGNjY7O9LVFBlJ/O7/j4ePHWrVvixIkTRSsrK7FWrVri06dPs719Rlh8FkA5/ebWaDSip6endpsdO3bo7Tt8+HBtPz8/vwz78LZbIunIfX5nhMUnkXHktfNbrVaLvXr1EgGIFStWFJ8/f56t7Ygovbx2fr9v4cKFIgCxa9euudo+FUe7pSydPn0aDx8+BAB4enqie/fuevtOmDBBu7x7926oVKp0fcqUKQMAePTokd79PH78WKcvEUnD2Oc3EeUdUp7foihi8ODB+O233+Dp6YnDhw/Dw8PDOMGJKEum/vfbz88PALB//34kJyfnePtULD4pSwcPHtQut2vXDgqF/m+b8uXLo1KlSgDePa958uTJdH1Sh2K/desWEhMT061PSEjArVu3AADe3t6GRCeiLBj7/CaivEPK8/vLL7/EunXrUKJECRw9ehSlS5c2TmgiyhZT//vt6uoKS0tLpKSkICoqKueB/x+LT8rSjRs3tMv169fPsn/aPmm3TVWqVCl4e3tDpVJpH5BOa/fu3UhKSkK9evU4zQqRxIx9fhNR3iHV+T1u3Dj4+/vDw8MDR48eRbly5QwLSkQ5Zup/v0+ePImUlBS4uLigSJEiOd4+FYtPylJwcLB2uWzZsln2T9vnzp07GfaZPHkyAODrr79GaGiotj00NFS7LvW/RCQdKc5vIsobpDi/p0yZgiVLlsDd3R1HjhzRXk0hItMy9vl9+vRpHDhwACkpKenWnTlzBgMHDgQADBw4EBYWFrmJDADgVCuUpdevX2uXs/OXjrR9oqOjM+zz2Wef4fDhw1izZg1q1KiB1q1bAwAOHz6M+Ph4DBs2DN26dTMsOBFlSYrz+8qVKzpDuaf+A/n9999rJ6kuVqwY9uzZk5vIRJRNxj6/9+3bh7lz5wJ4dxvf/PnzM9xPlSpV+AdkIokZ+/y+f/8++vfvDxcXF9SpUwceHh6IjY1FSEgIbt++DQDo2LEjvv/+e4Nys/ikLKWda9PW1jbL/mn7xMTE6O23evVqNGnSBP7+/jh69CgAwMvLC8OHD0ffvn0NSExE2SXF+R0TE4Pz58+na3/w4AEePHgA4N3gCEQkLWOf32mf8zp37hzOnTuX4X6aN2/O4pNIYsY+v5s3b47p06fj1KlTuHfvHs6ePQtRFOHh4YFu3bqhd+/e6NKli8G5WXySrPr164d+/frJHYOIjMjX1xeiKModg4iMzM/PTzviJRGZl7Jly+K7776T/Dh85pOy5OjoqF1OSEjIsn/aPk5OTpJkIiLj4PlNZL54fhOZr/x6frP4pCy5uLhol1++fJll/7R90m5LRHkPz28i88Xzm8h85dfzm8UnZalKlSra5bQj0+qTtk/abYko7+H5TWS+eH4Tma/8en6z+KQseXl5aZcvXLiQZf+0fdJuS0R5D89vIvPF85vIfOXX85vFJ2WpQ4cO2uVDhw5Bo9Ho7RsSEoK7d+8CeHcvetOmTSXPR0S5x/ObyHzx/CYyX/n1/GbxSVlq3LgxSpcuDQB4+PAhAgIC9PZdtGiRdvmTTz6BjY2N5PmIKPd4fhOZL57fROYrv57fgsjx8AscQRC0y9n9379x40bt8Oru7u44ceJEuvvFAwIC0KNHD4iiCKVSidu3b6NcuXJGy01EWeP5TWS+eH4Tma+Ccn5znk8zFh0djYULF2baZ9q0aenafvjhh3Rtffv2xd69e7F3715ERkaifv36GDBgAHx8fKBSqRAYGIhdu3ZpT5YFCxbwHy4iCfH8JjJfPL+JzFdBP7955dOMhYWFoWzZsjneTt+3RGJiIgYMGIBt27bp3VapVGLOnDkYP358jo9LRNnH85vIfPH8JjJfBf38ZvFpxoz9zZ3q6NGj2LBhA86cOYPnz5/D2toaJUuWRNu2bTF06FBUqlQpt5GJKJt4fhOZL57fROaroJ/fLD6JiIiIiIhIchztloiIiIiIiCTH4pOIiIiIiIgkx+KTiIiIiIiIJMfik4iIiIiIiCTH4pOIiIiIiIgkx+KTiIiIiIiIJMfik4iIiIiIiCTH4pOIiIiIiIgkx+KTiIiIiIiIJMfik4iIiIiIiCTH4pOIiIiIiIgkx+KTiIiIiIiIJMfik4iIiIiIiCTH4pOIiIiIiIgkx+KTiIiIiIiIJMfik4iIiIiIiCTH4pOIiMjIevbsCUEQJP2ytLREfHy83gzDhw/X9i1Tpozp3jwREZEeLD6JiIiM7PLly5Ifo0qVKrCzs9O7/sCBA9rljz/+WPI8REREWWHxSUREZEQxMTG4d++e5MepU6eO3nVXr17FkydPtK9ZfBIRUV5gKXcAIiIic6JQKPD3339nq++KFSuwe/du7esuXbrgyy+/zNa25cqV07tu37592mVHR0f4+vpma59ERERSYvFJRERkRA4ODmjdunW2+i5cuFDnddu2bbO9bWb279+vs09ra2uD90lERGQo3nZLREQkk2vXrum89vb2Nnifz549w5UrV7SvecstERHlFSw+iYiIZBAeHo6IiAjta4VCAS8vL4P3e+DAAYiiCACwsLBAx44dDd4nERGRMbD4JCIiksH7Vz0rVqyY6ei12ZX2ec+GDRuicOHCBu+TiIjIGFh8DcDPIgAABkxJREFUEhERyUCKW27j4+Nx5MgR7evMbrktX7680eceDQkJMfg9EBGR+WLxSUREJAMpis/Dhw8jMTFR+7pTp04Z9ouIiMCDBw8MPl5aRYsWRfny5Y26TyIiMi8sPomIiGQgRfGZdpTbChUqoEqVKhn2O3funMHHel/Dhg2Nvk8iIjIvnGqFiIjIxOLj43Hv3j2dNkOLT1EUceDAAe1rfVc9AaBOnTr4559/9K7XaDTo2LEjUlJSAABly5bFqlWrMj2+p6dnDhMTEVFBw+KTiIjIxG7cuAGNRqN9XbRoUXh4eBi0z4sXLyI8PFz7OrPnPUuXLo3SpUvrXX/nzh1t4QkA9evXN8r8o0REVLDxtlsiIiITk/qWW1dXVzRp0iTX+5IiHxEREYtPIiIiE5O6+Gzfvj0sLXN/c9P7+WrXrp3rfREREaVi8UlERGRixi4+Hz16hOvXr2tfZ3bLbXYYmu/48ePa6Vc2bNhgUBYiIjIfLD6JiIhMSKPR4ObNmzpthhafaa96Wlpaol27dgbtL23x6eHhgaJFixq0PyIiIoDFJxERkUndvXsX8fHx2td2dnaoVKmSQftMW3w2a9YMLi4uud5XeHg4IiIitK95yy0RERkLR7slIiIyofdvaa1ZsyYUitz/Lfjt27c4fvy49rXct9wCgK+vL0RRNCgHERGZH175JCIiMiFjP+8ZGBgIlUqlfZ3Z/J7ZwZFuiYhIKiw+iYiITMjYxV3aW26rVauGcuXKGbQ/Fp9ERCQVFp9EREQmZMziTqPR4ODBg9rXht5yC+jmc3BwQIUKFXK8j6xGu92wYYN2feotw3/99Rc6d+6M4sWLQ6lUonjx4vj0009x/vz5XL4TIiLKa1h8EhERmcj7g/koFAp4eXnlen///vsvXrx4oX1t6C23iYmJuHfvnva1l5eXQc+jZocoihg6dCg6dOiAffv24fnz50hKSsLz588REBCARo0aYf369ZJmICIi02DxSUREZCLvX/WsWLEi7Ozscr2/ffv2aZfd3NzwwQcf5HpfABASEgKNRqN9XbVqVYP2lx0zZszAqlWr0LJlS/z222+4ePEiTp48ia+++gqWlpbQaDQYPnw4QkJCJM9CRETS4mi3REREJiLl854dOnQw+CplWFiYzmtPT0+D9pcdp06dwtdff425c+fqtDdt2hQVKlTAkCFDoFKp4O/vj4ULF0qeh4iIpMMrn0RERCZizOLzwYMHuH37tva1obfcAkBCQoLOa1tbW4P3mRUvLy/MmTMnw3UDBgxA0aJFAUBnOhkiIsqfWHwSERGZiDGLz7RXPZVKJT788MNc7yvtftIKCgoyeJ9Z6dOnj94rthYWFqhbty4A8LZbIiIzwNtuiYiITCA+Pl5nMB/AsOIz7fOeLVq0gIODQ673ler9Zzw3bdoECwsLtG3bFq6urhAEAQ0aNICjo6PBx9J3zPcVLlwYABATE2O0YxIRkTxYfBIREZnAjRs3dAbzKVq0KDw8PHK1rzdv3uDUqVPa18aYYgUAKlSogDp16uDKlSsA3o1Eu27dOqxbt07b5+XLl0Y5Vip7e/tM16deFU372RERUf7E226JiIhMwJi33B46dAjJycna18YqPgFg7dq1cHFxyXBdyZIltVciiYiIcorFJxERkQlI9bynt7c3SpUqlet9vc/b2xt37tzBpEmT4OXlBWdnZwiCoF1HRESUW7ztloiIyARWrFiBFStWGLyflJQU/PXXX9rXxrzqmapo0aKYP38+5s+fb/R9ExFRwcUrn0RERPnImTNnEBUVpX0tRfFJREQkBRafRERE+UjaW26LFSuGevXqyZiGiIgo+1h8EhER5SNpi8+PPvpI+zwmERFRXsdnPomIiPKR4OBguSMQERHlCq98EhERERERkeQEURRFuUMQERERERGReeOVTyIiIiIiIpIci08iIiIiIiKSHItPIiIiIiIikhyLTyIiIiIiIpIci08iIiIiIiKSHItPIiIiIiIikhyLTyIiIiIiIpIci08iIiIiIiKSHItPIiIiIiIikhyLTyIiIiIiIpIci08iIiIiIiKSHItPIiIiIiIikhyLTyIiIiIiIpIci08iIiIiIiKSHItPIiIiIiIikhyLTyIiIiIiIpIci08iIiIiIiKS3P8BDpLirYFL+IgAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 960x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(dpi=150)\n",
    "plt.plot(rho,np.ones(len(rho)),'k')\n",
    "\n",
    "plt.plot(rho,k17,color=c2,lw=2,label=r'K17: PRH')\n",
    "plt.plot(rho,MAP,'-.',color=c4,lw=3,label=r'Ours: CELERITE')\n",
    "\n",
    "\n",
    "plt.xscale('log')\n",
    "plt.xlabel(r'$T/\\tau_{\\rm in}$',fontsize=20)\n",
    "plt.ylabel(r'$\\tau_{\\rm out}^{\\rm median}/\\tau_{\\rm in}$',fontsize=20)\n",
    "plt.text(8,1.2,r'K17MAP50: median of $\\tau_{\\rm MAP}$',fontsize=18)\n",
    "#plt.title(r'K17 prior (N = 60, $\\sigma_e=\\sigma_{\\rm SDSS})$',fontsize=20)\n",
    "plt.title(r'K17 prior (N=445, $\\sigma_{\\rm e}=\\sigma_{\\rm OGLE})$',fontsize=20)\n",
    "plt.xlim(1,1000)\n",
    "plt.grid()\n",
    "plt.ylim(0.1,1.3)\n",
    "plt.legend(fontsize=14,loc=4)\n",
    "plt.xticks(fontsize=15)\n",
    "plt.yticks(fontsize=15)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "dedb12a8",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1000.0 1.0\n",
      "891.3 0.999\n",
      "794.3 1.001\n",
      "707.9 1.0\n",
      "631.0 1.002\n",
      "562.3 0.996\n",
      "501.2 0.999\n",
      "446.7 0.999\n",
      "398.1 1.0\n",
      "354.8 0.998\n",
      "316.2 0.998\n",
      "281.8 0.994\n",
      "251.2 0.995\n",
      "223.9 0.992\n",
      "199.5 0.994\n",
      "177.8 0.991\n",
      "158.5 0.989\n",
      "141.3 0.995\n",
      "125.9 0.992\n",
      "112.2 0.99\n",
      "100.0 0.991\n",
      "89.1 0.987\n",
      "79.4 0.988\n",
      "70.8 0.989\n",
      "63.1 0.983\n",
      "56.2 0.983\n",
      "50.1 0.984\n",
      "44.7 0.98\n",
      "39.8 0.977\n",
      "35.5 0.972\n",
      "31.6 0.974\n",
      "28.2 0.969\n",
      "25.1 0.965\n",
      "22.4 0.961\n",
      "20.0 0.951\n",
      "17.8 0.95\n",
      "15.8 0.942\n",
      "14.1 0.928\n",
      "12.6 0.923\n",
      "11.2 0.918\n",
      "10.0 0.903\n",
      "8.9 0.896\n",
      "7.9 0.884\n",
      "7.1 0.855\n",
      "6.3 0.851\n",
      "5.6 0.837\n",
      "5.0 0.807\n",
      "4.5 0.802\n",
      "4.0 0.777\n",
      "3.5 0.761\n",
      "3.2 0.727\n",
      "2.8 0.697\n",
      "2.5 0.677\n",
      "2.2 0.66\n",
      "2.0 0.625\n",
      "1.8 0.583\n",
      "1.6 0.564\n",
      "1.4 0.547\n",
      "1.3 0.497\n",
      "1.1 0.466\n",
      "1.0 0.443\n"
     ]
    }
   ],
   "source": [
    "for i in range(len(rho)):\n",
    "    print(np.round(rho[i],1),np.round(k17[i],3))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a98b8384",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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